The parking lights keeps blinking on and off and then just staying on while the car is off and keys are out of the ignition.

make sure park light switch is turned off, lights are feed unswitched current, if switch is in off position, switch is bad

You may need to reset the system.

SEQUENCE ACTIVATED BY THE PARKING BRAKE .
1. While engine is running (key in ignition switch), apply the brakes and hold the pedal down.
2. Move gearshift lever to neutral.
3. Apply the parking brake Once Twice
Note: The system can be set - at time of installation - to require that the parking brake be applied once or twice.
If set for two actuations, pause one second between the two.
4. Remove key from ignition (the system keeps the engine running).
5. Exit the vehicle.
6. Within 60 seconds, close all doors.
7. The system will stop the engine and blink the parking brakes once to confirm the sequence is valid (vehicle is
ready for a remote start command).
SEQUENCE ACTIVATED BY THE REMOTE CONTROL
1. While engine is running (key in ignition switch), apply the brakes and hold the pedal down.
2. Move gearshift lever to neutral.
3. Apply parking brake.
4. Send the start command (Model 801 & 2101 - Model 903 ).
5. Remove key from ignition (the system keeps the engine running).
6. Exit the vehicle.
7. Using the remote, send the STOP command. The system will stop the engine and parking lights will blink once
to confirm that the sequence is valid (vehicle is ready for a remote start command).
http://www.astrostart.com/Support/Guides.aspx

Most likely ignition wire in steering coloumn needs replaced.

have you placed the transmission in park yet. Make sure it is all the way in park and try to turn to the off position. Make and model of vehicle?

there is a switch on the gearbox that when you put car in reverse the lights go on,change it.it is shorting out....

Something is broken in the steering column. It sound like the ignition rack is broke.

MAKE SURE THE INDICATOR STOCK IS IN THE OFF POSITION WHEN YOU LEAVE THE VEHICLE AS THIS KEEPS THE PARKING LIGHTS ON IN THAT DIRECTION.GOOD LUCK.

The computer detected a fault. You SHOULD NOT drive it around with that blinking, or you will regret it. Take it to the dealership immediately and have them pull the code.

This is the problem with faulty reverse light switch which is in the transmission, replace the switch it will the problem ...

Good luck....

i just put a remote start alarm system on my 2002 chevy impala now when i turn the car off the parking lights come on after i turn the ignition off and stay on for like 10-15 min before the goes off but before they goes off they blink 3 times and then shut off .