The Ford crashed into the flats after being involved in a collision with two other cars on Stafford Street, near the city centre, at around 11.15am today.
WATCH: Video shows aftermath of crash
The crash happened opposite Home Bargains and The Food Warehouse at the Peel Centre, with the Focus ending up eight foot down a bank resting against 11-storey Tong Court, which is owned by Wolverhampton Homes..
The air bags were deployed but nobody had to be cut free, West Midlands Fire Service said.
Two people were assessed by paramedics and a man in his 30s was taken to New Cross Hospital with injuries not believed to be serious, according to West Midlands Ambulance Service.
A teenager from inside the car was discharged at the scene, where police and firefighters were also sent after reports the car was leaking fuel.
A structural engineer has since confirmed the building is safe for residents to stay inside, a spokesman for Wolverhampton Homes said.
A spokesman for West Midlands Fire Service said: "We were called at 11.16am opposite Peel Retail Park in Stafford Street.
"The caller said it was some flats opposite Home Bargains in which a car has left the road and has been in a collision with a block of flats, and was leaking fuel.
"One crew – five firefighters – attended.
"The fire service provided casualty care and requested the ambulance service as a precautionary measure.
"A structural engineer was requested to assess a pillar and a fence next to the property was also damaged.
"West Midlands Police, the ambulance service and Wolverhampton Homes were all in attendance."
A warning was also flagged up by the service who urged people to drive carefully on winter roads, adding occupants of the car were "lucky to escape" with minor injuries.
West Midlands Ambulance Service and Wolverhampton Homes have been contacted for comment.