He has until Thursday to respond to the charge.
Ancelotti was shown a red card during an on-field, post-match argument with referee Chris Kavanagh after a controversial VAR ruling denied Everton a stoppage-time winner.
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“I didn’t disrespect the referee,” Ancelotti said after the game. “He knows this. But if I have to be banned, I will go to the stands at Stamford Bridge. It’s not a big problem, honestly.”
Everton’s Gylfi Sigurdsson remained prone on the pitch after De Gea saved his shot, and moved his feet out of the way to allow Calvert-Lewin’s rebound effort to slide inside the near post.
The FA’s statement says his “language and/or behavior” is in question.Follow @NicholasMendola