Wait, are you talking about what we in Australia call Americans of colour? Or what we call people of African descent living in Australia? I guess a lot of people would call "African Americans" African American or Black American. People of colour in Australia are either fairly new to the country have been here a very long time. Newcomers tend to get called the name of their country of origin, some times the name of their tribal/ethnic group. I live near a lot of Sudanese and a few Tutsi, they tend to get called Sudanese Australian or Tutsi Australian. The other extreme is the original inhabitants of Australia who have been here for 40,000 plus years. They get called Koori, (which refers only to New South Wales and Victoria) specific tribal names or Indigenous Australians, older people still tend to (mis)use the term Aboriginal which isn't very accurate.
(Aboriginal is a adjective but often gets misused down here as a noun, the the proper term would be Aboriginal Australian or Aborigine. Aborigine just means original inhabitant, it isn't exclusive to Indigenous Australians, the Blackfoot or Sioux for example would be Aboriginal North Americans.)