Ben Arfa believed he was unfairly singled out in the match and the 25-year-old angered Blanc by talking on the phone when the team returned to the changing rooms after the match.
He said that he should not have been taken off as there were several other players “who were worse” than him.
That prompted an angry intervention by Samir Nasri and Ben Arfa ended with him telling Blanc that he could send him home if he wanted to.
France play Spain in the quarter-final in Donetsk, Ukraine, on Saturday.