Starter stays engaged

Ignition switch needs to be replaced

I would be looking at the solenoid, too.

apendix
is
stuck
try
tapping
it
with
hammer
if
that
doesnt
work
youll
have
to
have
it
rebuilt
or
put
a
new
one
on
it

your Ignition Switch is bad here is how to replace it
The ignition switch is usually mounted to the steering column and is operated by a linkage rod.
NOTE On column-mounted ignition switches, don't confuse the switch with the lock cylinder and keys. The ignition switch is not normally visible. On some vehicles, the steering column support has to be removed and the column lowered to find the ignition switch. On others, the switch is accessible under the dash.
The ignition switch is operated by the key switch. Courtesy of Ford Motor Company. To replace the switch:

• Remove the ignition switch wiring harness.
• Unbolt it from its position.
• Bolt the new switch into position.
• Attach the witing harness.

solenoid may be sticking. Have someone start the car, if it sticks tap the solenoid with screw driver handle. If that stops the starter, replace the solenoid. If it were me, I wouldn't bother testing it and just replace solenoid.

Yes, it sounds like your solenoid is bad and staying engaged against the flywheel, you could do an amperage draw and a voltage drop test to find out for sure, but you will need an DVOM and a amp clamp. Or you could take it into an auto parts store and they will test it for free. Hope this helps.

There is either a cable not getting a very good connection, solenoid has problems, or there is a wiring leading to a relay that has a bad connections. How is your ignition? Is it loose or have loose wires?

also check the magnetic switch mounted on the starter housing, is supplied by current from the starting switch circuit of the ignition switch. This magnetic action of the switch mechanically engages the starter clutch assembly and electrically closes the heavy switch which connects it to the battery. The starting switch circuit consists of the starting switch contained within the ignition switch, a transmission neutral safety switch or clutch pedal switch, and the wiring necessary to connect these in series with the starter solenoid or relay.

your ignition switch are wrong or your starter stay on check with test light at little wire on starter when u are cranking light on when u leave the key no light will come

Bad ignition switch or starter seleniod

faulty ignition relay staying stuck on and not opening when there is no power from the ignition switch