The Black Parents are an abusive, sadistic, obnoxious Afro-American couple, whose names are not revealed, in the YouTube video "White Parents vs Black Parents" (lexitelevision video).
They are very sadistic. For any little perceived break of authority, the dad takes Dante, their son, and whips him. For closing the door, the dad whips the son mercilessly. For asking for a new phone, the son gets whipped. And the father has a signature phrase, "you can't [insert action] if you're unconscious." The mother often laughs. They're also stupid.