According to the State Farm Learning Center, if you hit a parked car in a parking lot you should track down the car's owner, leave a note on the car or call the police. If you simply drive away, you could be punished for a hit-and-run.
The State Farm Learning Center advises that you take action if you hit a car in a parking lot. Ask around in stores or ask customer service to make an announcement over the loudspeaker. Leave a note with your name, phone number and an explanation of the accident on the car, then take note of the license plate and take pictures if you can. If the damage is extensive, call the police to document the accident and help you take the next steps.