According to their customer service department, American Airlines does status match. This is done on a tier by tier basis, meaning generally you will be granted the AAdvantage status level equivalent to your current level. If you'd like to match, gather the following information with your current frequent flyer program:
Program Name
Current Membership Number
Call AAdvantage customer service at 1-800-882-8880. Provide these details. They will review and contact the other program to verify. In particular they will check if your current status was obtained through actual miles traveled or via other incentive programs. If appropriate, they will then grant you the equivalent status.