Emergency services were called after the car crashed on Dudley Road, Sedgley, at around 7pm on Sunday night.
A man was treated by paramedics, before being taken to hospital for further treatment.
A spokesman for West Midlands Ambulance Service said: "We were called to reports of a car that had crashed into a wall on Dudley Road at 7.15pm on Sunday night. Two ambulances attended the scene.
"On arrival we discovered one patient, a man, who had got himself out of the car. He was treated for injuries not believed to be serious before being taken to Russell’s Hall Hospital for further treatment."
Dudley Fire Station shared photos of the car and a knocked down wall on Facebook, adding: "Crews have responded to report of road traffic collision on Dudley Road, Sedgley, with one person trapped. Staffordshire and West Midlands fire services mobilised all services.
"West Midlands Ambulance Service are treating one man for his injuries and Dudley Police have closed the road. Speed is one factor to this crash, please slow down on our roads."
A spokesman for West Midlands Fire Service added: "At 7.17pm on Sunday, September 26, we responded to Dudley Road, Sedgley, where a car had been in collision with a garden wall.
"Two fires engines and 10 firefighters attended, from Dudley and Bilston fire stations. The first crew arrived within three minutes of being mobilised.
"The male driver was treated at the scene by the ambulance service and is believed to have been taken to hospital.
"Our crews made the vehicle safe. The garden wall collapsed and debris was spread for some distance along the road."
West Midlands Police have been approached for comment.