West Midlands Police said a 12-year-old girl suffered a head injury during the collision, in Ivyhouse Lane off the Birmingham New Road in Coseley.
The driver stopped at the scene close to the McDonald's fast-food branch.
West Midlands Ambulance Service stated: “We were called at 4.22pm on Sunday to reports of a collision involving a car and pedestrian on Birmingham New Road.
"We sent one ambulance and a paramedic officer to the scene."
The child, who has not been named, was taken to Birmingham Children’s Hospital for treatment, but her injuries were not thought to be life-threatening.