The crash happened on the B4176 at Sutton Maddock at around 7.25am on Friday.
Cutters and spreaders were used by firefighters to free the casualty. Two fire engines were sent to the scene, and police warned that traffic was moving slowly.
Shropshire Fire and Rescue Service's incident log said: "At 7.25am, SFRS Fire Control received a call reporting that a road traffic collision had taken place in Shifnal involving three saloon vehicles.
"Two fire appliances were mobilised from Tweedale. An operations officer was in attendance. Also at the scene of the incident were the land ambulance service and the police.
A West Mercia Police spokesman said: "Road traffic incident near to the Shell Garage, Sutton Maddock B4176. Several vehicles involved. Traffic will be slow moving."
A West Midlands Ambulance Service spokeswoman said: “We were called at 7.14am to reports of a three car RTC on the B4176 near the junction with Madeley Road, Sutton Maddock. Two ambulances and a paramedic officer attended the scene. Crews treated a man for injuries not believed to be serious and he was conveyed to New Cross Hospital for further treatment. A woman was treated for minor injuries and was discharged at the scene.”