But not "European-American", whatever that means. "African-American" lumps a vast number of peoples from an entire continent into a single ethnic group.
“Lot of white Americans refer to themselves as Italian-American, German-American or Irish-American.”
Of course it depends on what the ambiguous term “lot” means but I dispute that anyway. Maybe my friends and associates are unique. We may on occasion talk about our heritage but I don’t know anyone who refers to themselves as a English-American or Italian-American or whatever.