The incident happened near the entrance of Attingham Park at around 10.15pm on Friday. Nobody was trapped in the vehicle.
Shropshire Fire and Rescue Service said: "At 10.18pm we received a call reporting that a road traffic collision had taken place near entrance to Attingham Park, Shrewsbury. One fire appliance was mobilised. Incident involved vehicle on its roof - no persons trapped - crews made vehicle safe."
Firefighters left the scene at 10.45pm.