The smash happened on the A454 Bridgnorth to Wolverhampton road, in Shipley, at about 5.45pm yesterday.
It involved one vehicle that lost control before flipping over and coming to rest.
Fire crews used cutting equipment to allow paramedics to free the casualty, whose condition is currently unknown.
All three emergency services were at the scene and the road was closed by West Mercia Police while the area was made safe.
Shropshire Fire & Rescue Service sent three appliances from Albrighton, Bridgnorth and Wellington, while crews from Tettenhall and Wombourne also assisted.
A spokesman from Bridgnorth Fire Station said: "A single vehicle was involved having rolled and flipped a number of times, leaving the front seat passenger medically trapped.
"Crews used Holmatro cutting equipment to create space for the paramedics to safely extricate the casualty."
The accident comes just days after a woman was taken to hospital after a three-car crash on Sunday evening.
Two cars and a pick-up truck were involved in the smash, also on the A454, at Chempshill.
West Midlands Ambulance Service has been contacted for more information.