The voluntary recall applies only to Camaros with V-8 engines.
The company says in extreme cases the cable problem could cause a fire, but no fires have been reported.
GM spokesman Dan Flores says the company has made about 1,400 of the V-8 equipped 2010 Camaros and 300 have been sold. The unsold models will be fixed before they are delivered to customers.
Flores says GM will tow the cars to dealers and offer free loaner vehicles and oil changes.