The recall covers the Chrysler 200 with V-6 engines from the 2015 model year. The company said manufacturing problems at a parts supplier's factory can cause the nine-speed transmissions to malfunction. Cars could roll away unexpectedly if the transmissions won't shift into park. Also, the shifter might show that the car is in park when it it's in another gear.
The company said Thursday that owners should activate the parking brake before shutting off the engine, until repairs can be made.
Chrysler said it has five customer complaints about the problem, but it knows of no crashes or injuries.
Dealers will inspect and replace transmissions if needed. Customers will be told when they can bring the cars in for service.
Customers with questions can call Chrysler at (800) 853-1403.