Emergency services were called to Wellington Road, in Bilston, at around 2.30am on Sunday morning.
One man was trapped in the vehicle and firefighters had to completely cut off the roof of the car to get him out.
The man was taken to New Cross Hospital, in Wolverhampton, but the extent of his injuries are not yet known.
Photos shared from the scene show the damaged white Volkswagen car embedded in the wall surrounded by debris in Wellington Road.
Firefighters from Bilston and Fallings Park fire stations attended the scene along with paramedics and police officers.
A West Midlands Fire Service spokesman said: "We initially received a call from West Midlands Police at around 2.30am on Sunday – the initial report came in as a collision involving a car with a wall and one person was trapped.
"The crews in attendance then confirmed one car had been in collision with a brick wall. One male was in the vehicle and cutting equipment was being brought into use to release him.
"A full roof removal was carried out to create space. Two appliances and a fire officer were in attendance, as well as the ambulance service and police.
"The casualty was assessed and treated at the scene by paramedics. He was then taken to New Cross Hospital for further treatment."
A spokesman from West Midlands Ambulance Service said: "A driver was taken to hospital with non-life threatening injuries."
West Midlands Ambulance Service have been contacted for comment.