Can't get car out of park

Could be neutral safety switch.
I found a video of adjustment
https://www.youtube.com/watch?v=VcX6sI_quPU
some info on changing neutral safety switch on 2001 Montero Sport Ltd.
https://www.justanswer.com/mitsubishi/92rz4-mitsubishi-montero-sport-ltd-doug-believe-neutral.html

If you're talking about the Park Neutral Safety Switch, it's on the linkage right up against the transmission, driver side under the hood. If you're not talking about the Neutal Safety Switch, then spell out exactly what you want and do not abbreviate.

Test/Service/Replace

The circuit on newer cars with automatic transmissions has a neutral safety, or neutral start switch installed between the ignition switch and the starter. The ignition switch cannot operate the starter motor unless the transmission is in park or neutral.
Late model vehicles with manual transmissions have a starter/clutch interlock switch that requires the clutch to be depressed to the floor.
Neutral Safety Switch
Normal operations of a neutral safety switch provides a quick check for the adjustment of the gear selector linkage.

• To do this, move the selector slowly until it clicks into the PARK position.
• Turn the ignition key to the START position.
• If the starter operates, the PARK position is correct.
• After checking the PARK position, move the lever slowly toward the NEUTRAL position until the lever drops at the end of the NEUTRAL stop in the selector gate.
• If the starter also operates at this point, the gearshift linkage is properly adjusted.
• This quick test also tests the adjustment of the neutral safety switch.
• If the engine does not start in either or both of these positions, the neutral safety switch or the gear selector linkage needs adjustment or repair.

CAUTION
Since you must work under the vehicle to adjust most shift linkages make sure you properly raise and support the vehicle before working under it. Also, wear safety glasses or goggles while working under the vehicle.
A voltmeter can be used to check the switch for voltage when the ignition key is turned to the START position with the shift lever in PARK or NEUTRAL. If there is no voltage, the switch should be adjusted or replaced.

This could be the problem. If your dash indicator is showing reverse but the transmission is in park it could be the safety switch. I'm not talking about the safety switch in the transmission though. In automatics they put a second switch to kill the starter from engaging. You need to adjust the linkage. If your shifter isn't actually on the column but the indicators are there is a cable that attaches the floor shift to the column and that is adjustable. Put the Floor shifter in Park and turn the column section nearest the dash by hand until you find park. Then adjust the cable length as needed. If all you have is the column shift it is still a cable adjustment. Set the emergency brake, drop the shifter to low 1 and adjust the cable linkage by loosening it on the transmission and manually move it all the way to low 1 then tighten it down then move the shifter to park and repeat teh adjustment process to verify that it is properly aligned. Lock the linkage back down and see if the vehicle will start, if it doesn't move the shifter to neutral and try to start the vehicle if the vehicle starts then check the column shift safety switch at the park position to make sure it is still in place and working. Typically, if the vehicle won't start in Park or Neutral it is more likely to be the Transmission neutral safety switch.

The Neutral safety switch in the Transmission is the problem. If it doesn't send the signal to the computer when it is in park it won't crank over. Replace the Neutral safety switch and the problem should be resolved. Make sure you check the linkage for proper adjustment if you have a center console shift. That doesn't actually connect directly to the transmission except through a linkage and it may show to be in park but not actually be fully engaging in park. Sometimes you can turn the lower part of the steering column by hand to get it to lock fully in park if this is the case with your situation then for sure it is the linkage being out of adjustment.

You probably need a linkage adjustment,a neutral safety switch adjustment or replacement of the neutral safety switch.

sounds like park safety switch,there are 2 switches 1 neutral and 1 park, if it starts in neutral,it is working,if in park,and does not start usually means bad switch or wire off.

yes there is a switch called Prndl SWITCH OR THE SAFETY NETURAL SWITCH, SINCE IT SENSES WHEN IT IS IN park Drive one drive to neutral and reverse that's where it gets the name pronounced prndl switch. IT'S located on the side of the transmission where the linkage is you take the nut off to remove linkage with the car in park, Also has two bolts that have to be removed and the harness removed. if you need more information let me know. One other thought the starter solenoid could do the same thing if the button is burnt inside the ,

have your ABS system scaned for codes(intermtent code) as for the car not goin out of park when applying the brake,there is a level or linkage that works as a safety,this linkage may need adjustment.the linkeage goes from thr pedal(brake) to the shifter,some of the work thru a selenoid that gets activated when the switch is on.

1.Shifter linkage could be out of adjustment, and not allowing the Neutral safety switch to be bypassed, when in the Park position.

The shift linkage, could move the arm of the neutral safety switch far enough, to bypass it when the shifter is in Neutral, but not far enough when the shifter is in Park.

2.Perhaps the Neutral safety switch is bad, or has come loose on it's mount, and is out of position.