Traffic management plays an important role in providing differentiated quality of service to the users and to support the integration of a variety of broadband services within a common ATM network. Wireless ATM access networks, which are currently under investigation in standards bodies as well as in first field trials, introduce new protocols that are able to cope with multiple access, error prone wireless channels and user mobility. The relation between mobile specific protocols and traffic management functions as well as their mutual impacts are discussed in this paper and possible solutions are outlined.