2001 Chevrolet Prizm park lamps and tail lamps remain on after switch is turned off. Why?

no car told
not one clue, year,maker or model
Tail spark, parks go to 4sides 4 corners and lic, lamps. 10 lamps.
even more with parks on mirror L/R

on newer cars there is no fuse,
they use BCM, the body brain.
and it uses smart electronic regulators for lamps
that self correct if the short is cured.
common shorts are, trailer hitch hack jobs.
or collision damage never fully corrected.
MOST BCM slip the park feeds 4 waYS, F/R AND L/R
SO TELL IF ALL 10 LAMPS PARK ARE BAD

THE WORD TAIL WAS FOR TIN LIZZY DAYS, 1 REAR TAIL
AND NOW IS 10 PARKS. OR MORE.
NO CAR TOLD OR I'D OF POSTED THE SCHEMATIC TO IT.

https://www.carcareninja.com/tail-lights-not-working-but-brake-lights-are/#:~:text=The%20common%20causes%20the%20tail%20lights%20do%20not,it%20does%20not%20allow%20the%20circuit%20to%20complete.
This post has a few suggestions that may help you find your problem.

Park, Tail and Marker Lamps
The park, tail and marker lamps, including the license lamps, are turned on when the headlamp switch is placed in the PARK or ON position or anytime the headlights are requested. The PARK LPS 30 A fuse in the engine wiring harness junction block supplies battery positive voltage to both the park lamp relay switch contacts and the park lamp coil circuit. The body control module (BCM) provides a ground or control circuit to the park lamp relay coil circuit. When the park lamps are turned on the BCM energizes the park lamp relay. Current flow is from the park lamp relay to the FR PRK 10 A fuse, RR PRK 10 A fuse, LR PRK 10 A fuse, and the TRL PRK 15 A fuse, and to their respective park and marker lamps. The front park and marker lamps are grounded at G100. The rear park and marker lamps are grounded at G401. The license lamps are grounded at G401. If the headlight switch is left in the ON position, the inadvertent power control feature will turn off the park, tail and marker lamps approximately 10 minutes after the ignition switch is turned to the OFF position. If the driver places the headlight switch in the ON position after the ignition switch has been turned OFF, or if the ignition switch is in the ACCY position, the park, tail and marker lamps will remain on until turned off or the battery runs dead.
The CTSY LMP 15 A fuse in the engine wiring harness junction block supplies battery positive voltage to both the inadvertent power relay switch contacts and the inadvertent power relay coil circuit. The body control module (BCM) provides a ground or control circuit to the park lamp relay coil circuit. When the driver presses the cargo lamp switch, the BCM energizes the inadvertent power relay. Current flow is from the inadvertent power relay to the cargo lamps. The cargo lamps are grounded at G203.

What about them ? What front lights ? Headlamps , park lamps, marker lamps ? They don't work ?

Exterior Lamps
The exterior lighting system consist of the following lamps:
• The Headlamps
• The Daytime Running Lamps (DRL)
• The Clearance Lamps (Y92 roof rack only)
• The Cornering Lamps
• The Front Fog Lamps
• The Rear Fog Lamps (Export)
• The Park, Tail and Marker Lamps
• The Turn Signal Lamps
• The Stop Lamps
• The Backup Lamps

Park, Tail, Marker, License, and Clearance Lamps
The park, tail, marker, license, and clearance (Y92 only) lamps are turned on when the headlamp switch is placed in the PARK or ON position or anytime the headlights are requested. The I/P BATT fuse in the engine wiring harness junction block supplies battery positive voltage to both the park lamp relay switch contacts and the park lamp coil circuit. The body control module (BCM) provides a ground or control circuit to the park lamp relay coil circuit. When the park lamps are turned on, the BCM energizes the park lamp relay. Current flow is from the park lamp relay to the individual park lamp circuit fuses and to their respective park, tail, marker, and license lamps. The front park and marker lamps are grounded at G107 and G103. The tail lamps are grounded at G401 and G402. The license lamps are grounded at G401. When equipped with the Y92 roof rack option, the clearance lamps are grounded at G302. If the driver places the headlight switch in the ON position after the ignition switch has been turned OFF, the park, tail, marker, license, and clearance lamps will remain on until turned off or the battery runs dead.
The T PARK fuse in the rear fuse-relay block supplies battery positive voltage to a separate park lamp circuit connected to the trailer wiring harness.

Park, Tail and Marker Lamps
The park, tail and marker lamps, including the license lamps, are turned on when the headlamp switch is placed in either the PARK or HEADLAMP position, or anytime the headlights are requested. The PARK LPS fuse in the underhood fuse block, supplies battery positive voltage to both the park lamp relay switch contacts and park lamp relay coil circuit. The park lamp relay coil is controlled by the body control module (BCM). When the headlamp switch is placed in the PARK position, the BCM will then energize the park lamp relay coil control circuit. Current flow is now from the park lamp relay to the park/tail lamps. The front park lamps are grounded at G100 and G101. The rear park lamps are grounded at G401 and G402. The license plate lamps are a part of the rear park lamp circuit and are grounded at G401. The inadvertent power control feature prevents the park lights from remaining on more than 10 minutes if left on. If the park lights are turned on after the ignition switch has been turned OFF, or is in the ACCY position, they will remain on until turned off or the battery runs dead.

20
PRK LPS
15A
PRK LPS Relay 55 under hood fuse box . Should have diagram on inside of the fuse box lid .

Go to http://www.bbbind.com/free_tsb.html free wiring diagrams ! You having tail light problems ? Do you know how they work ?

They are turned on by the BCM !
Park, Tail, Marker and License Lamps
The park, tail, license, and marker lamps are turned ON when the headlamp switch is placed in either the HEAD or PARK lamp positions, or anytime the automatic light control (ALC) turns the headlamps ON. When the headlamp switch is placed in the park lamp or headlamp positions, ground from G202 is applied through the signal circuit to the BCM indicating the park lamp request. In response to this signal, the BCM applies ground through the park lamp relay control circuit energizing the PARK LP PCB Relay. With the relay energized, battery voltage is applied through the switch side of the relay, both park lamp fuses, and the supply voltage circuits illuminating the park, tail marker, and license lamps. Ground for the left front park and marker lamps is provided at G101 and the right front park and marker lamps at G100. Ground for all rear lamps is provided at G302.
Turn Signal Lamps
The LT T/SIG and RT T/SIG fuses located in the underhood fuse block supplies battery positive voltage to the body control module (BCM) for turn signal and hazard lamp operation. When the turn signal switch is place in either the LEFT or RIGHT position, ground from G202 is applied through the turn signal switch signal circuit to the BCM indicating the turn signal request. In response to this signal, the BCM applies a pulsating voltage to the front and rear turn signal lamps supply voltage circuits cycling the lamps ON and OFF. The BCM also sends a message via GMLAN to the instrument panel cluster (IPC) to cycle the turn signal indicator ON and OFF depending on the position of the turn signal switch.
Ground for the turn signal lamps is supplied as follows:
?€¢
G101 provides ground for the left front turn signal lamp

?€¢
G100 provides ground for the right front turn signal lamp

?€¢
G302 provides ground for the left and right rear turn signal lamps

Check fuse's #19 ,# 6 #4 check grounds 105 & 107
G107 In the left rear of the engine block next to the knock sensor. G105 In the thermostat housing
The park, tail, marker and license lamps are turned on when the headlamp switch is placed in the PARK or ON position or anytime the headlights are requested. The PK LPS fuse in the IP fuse block supplies battery positive voltage to the park lamp relay and the headlamp switch. The body control module (BCM) provides a ground, or control circuit, to the park lamp relay coil circuit during ALC operation. When the park lamps are turned on during ALC, the BCM energizes the park lamp relay. The park lamps can also be supplied battery positive voltage directly from the headlamp switch. Current flow is to the park, tail, marker and license lamps. The front park and marker lamps are grounded at G100 and G101. The rear park, tail, marker and license lamps are grounded at G400 and G401. If the headlight switch is left in the ON position, the park, tail and marker lamps will remain on until turned off or the battery runs dead.
Check the headlamp switch !

they are dual filament bulbs so the tail light filament might have blown and not the stop light , replace the bulb to check

Daytime running lamps control module. Fuse #37 - inside the passenger compartment or under hood fuse box ? Do you know how to use a volt meter an wiring diagram to find electrical problems ? You have a direct short to ground or fuse #37 wouldn't blow. Underhood fuse box fuse # 37 is for the park lamps .Supply's B+ voltage to the daytime running lamps module an the headlamp switch plus 37
PARK LP Fuse
20A
Headlamp Switch, Body Control Module (BCM), and Vehicle Interface Unit (VIU)...
Park, Tail and Marker Lamps
The park, tail and marker lamps, including the license lamps, are turned ON when the headlamp switch is placed in either the PARK or HEADLAMP position, or anytime the headlights are requested. The PARK LP fuse in the underhood accessory wiring junction block. When the headlamp switch is placed in the PARK position, battery positive voltage is applied to the park lamp circuit. The parklamp circuit then applies battery positive voltage to the DRL control module and to all the marker, park and tail lamps. The front park lamps are grounded at G101. The rear park lamps are grounded at G302. The license plate lamps are a part of the rear park lamp circuit and are grounded at G302 The inadvertent power control feature prevents the park lights from remaining on more than 10 minutes if left ON. If the park lights are turned ON after the ignition switch has been turned OFF, or is in the ACCY position, they will remain ON until turned OFF or the battery runs dead.

Finding The Source Of Electrical Shorts In Your Car

Park, Tail, Marker Lamps, and License
The park, tail and marker lamps, including the license lamps, turn on when the headlamp switch is placed in either the PARK or the HEAD position, or anytime the headlamps are requested. The RT I/P #1 fuse in the RH I/P fuse block supplies battery positive voltage to both the park lamp relay switch contacts and to the park lamp relay coil circuit. The park lamp relay coil is controlled by the body control module (BCM). When the headlamp switch is placed in the PARK position, the BCM energizes the park lamp relay coil control circuit.
Current flows from the park lamp relay switch to both front and rear park lamp fuses and to their respective park/tail lamps. The front park lamps are grounded at G101. The rear park lamps are grounded at G302. The license plate lamps are a part of the rear park lamp circuit and are grounded at G302. The inadvertent power control feature prevents the park lamps from remaining on more than 10 minutes if left on. If the park lamps are turned on after the ignition switch has been turned OFF, or is in the ACCY position, they will remain on until turned off or until the battery runs dead.

Did you the REAR PARK LP fuse 15 amp in the right insturment panel fuse box.