I was parking the car in a parking lot. I turned left into the lot and then turned right into a spot and then decided to switch to the adjacent spot (also requiring me to turn right) to provide me with more room to park and leave the car. As I turned into the spot the car suddenly accelerated forward. I tried pushing the brakes and the car continued to accelerate and hit two fences. No indication of a collision by car, no engagement of the automatic emergency braking. No recognition of the car that there was a fence in front. No automatic braking/warning lamps. The vehicle was inspected only by the insurance agent and body shop for repair.