After the hapless motorist eased out of the bay at a sensible speed, the car inexplicably sped up, span 180 degrees and smashed into two other parked cars.
The out-of-control silver Ford finally came to rest in the zig-zag zone of car park after hitting a safety barrier.
British Transport Police are hunting the mystery driver who was captured on CCTV at Olton railway station near Solihull, West Midlands.
Despite extensive inquiries, officers have yet to trace the driver of the silver Ford Escort which collided with three parked cars before the driver left the scene.
Investigating officer PC Ali Jama said: “We are now two months on from this incident taking place shortly after 1.20pm on Friday, September 27.
“Despite extensive inquiries, officers have yet to trace the driver of the silver Ford Escort which collided with three parked cars before the driver left the scene.
“So far, the driver has not reported the incident to police.
“I am today hoping that someone will recognise the car and/or the driver, and come forward with information which can assist the investigation.
“Unfortunately, the CCTV camera did not capture any part of the vehicle’s registration.”
Anyone who has information which they believe can assist the investigation, is asked to contact British Transport Police on Freefone 0800 40 50 40, or text 61016.