DETROIT -- Chrysler LLC said it may sell off its hot-rod Dodge Viper nameplate, becoming the last of the Detroit auto makers to consider such a move amid escalating costs and the financial pressure to return to profitability.

Chrysler Chief Executive Bob Nardelli said he has been approached by unnamed third parties "interested in exploring future possibilities for Viper." Mr. Nardelli said he has retained Lazard Ltd. to help in a strategic review of Viper's future, although there is no timetable. About 110 employees produce...