African american is a nice politially correct term for some people, but some time ago a black englishman was interviewed by Oprah Winfrey on his show. She referred to him as african american, but he pointed out that he was not american, but english.
Black people in other countries are not called african anything. In the caribbean, people are just desribed as light, dark, redbone or whatever shade of skin is.
Americans though, because of government forms and classifcations, are more interested in putting themselves into racial boxes than most countries.