ah cripes, its the shifter interlock solenoid, its supposed to activate when the brake is depressed and unlocks the shifter /key lock cylinder.

remove the bezel around the shifter, below the shift lock release slot (that the key is inserted into) you will find a white plastic arm attached to the shifter stalk near the base, the key presses the lever down in cse the cable from the solenoid doesnt.

use a zip tie and secure lever into released position.
you will now no longer have any issues with the shifter/keys. you will however be able to remove the keys even if the shifter isnt fully in the park position. this can also lead to a "no start" since the range switch will tell the pcm the trans is in gear and disable the relay.
it can also lead to a car rolling down a hill if the driver is negligent (the whole point of the interlock/nanny)

or you can replace the solenoid/cable assembly/repair a wiring fault

zip tie and a driver who knows the shifter must be fully in park is the cheaper solution