I label myself as black American. African American makes no sense because 1. I have never been to Africa, 2. None of my relatives outside my aunt and uncle have visited Africa, 3. African American is what I'd describe an immigrant FROM Africa and 4. Due to the diversity of Africa as a continent, "African American" is a paradox: a white person who moves to America who is an African native is more African American than I ever will be.
But no, if someone calls me African American I don't give a shit. I just don't use the term myself.