Windmill Hill has been closed on Sunday after the accident, which was believed to have happened overnight, and the front of the Turkish Barbers shop has been destroyed.
There have now been calls for safety railings to be installed on Windmill Hill.
The car caused so much damage that the resident living above the shop on Windmill Hill had to be evacuated.
The driver is believed to be currently in hospital.
Cradley and Wollescote Liberal Democrat campaigner Kash Khan posted on social media: “Terrible crash last night top of Windmill Hill, luckily the driver is in hospital stable condition.
“Fire fighters are trying to make the building safe at the moment so expect the road to be closed till late afternoon. Also other roads leading to Windmill are closed as well such Highfield, Beecher, Two Gates Lane.”
He added: “The resident living above the barber shop has been evacuated due to building is not safe. Will request for safety railings to be installed to stop this happening in the future. Luckily it did not happen during the daytime.”
West Midlands Fire Service tweeted at 11am: “Windmill Hill is currently closed, please find an alternative route. Road traffic collision.”
