The one-vehicle collision happened at Goldsmith Lane shortly after 10pm. Nobody was trapped in the vehicle.
A Shropshire Fire and Rescue spokesman said: "At 10.17pm on Friday, December 2, SFRS Fire Control received a call reporting that a road traffic collision had taken place in Whitchurch.
"Two fire appliances were mobilised from Prees and Whitchurch. An operations officer was in attendance."