funny, as a kid i had a lot of kids in my class that called themselves apache, although the learned white guys say they are actually part of a different ethnic group. My house is still near the main entrance to the rez. I don't evern remember calling them indians per se, or apache for that matter. They did use english names.
Mostly I hear the call themselves "The People".
Or by their tribe...
Athapaskan. Or Mescalero.