"It was a really frustrating day and performance," said Ancelotti.
"There are some excuses but I don't want to have excuses, the performance was not acceptable. The spirit of the team was unacceptable.
Tottenham manager Jose Mourinho says the half-time clash between goalkeeper Hugo Lloris and forward Son Heung-min was "beautiful" and "something needed for the team to grow up".
"[The argument] was probably as a consequence of our meetings.
Everton boss Carlo Ancelotti told BBC Sport: "We started well, got in front and had control. But second half was totally different," "Leicester changed shape, put more pressure on us and we had difficulties.
Daniel Farke says his side "won't give up" :
"I can't accuse the lads at all today," said German boss Farke. "I can just praise the workload, the togetherness.
"In terms of attitude, we showed organisation and I can just give compliments.
Chelsea manager Frank Lampard: "We have injuries but that gives opportunity so we don't want to moan, especially when Billy Gilmour plays how he plays, and Ross Barkley and Mason Mount, and the collective of the team.
Carlo Ancelotti to Match of the Day on his red card: "When I saw the red card it was a disappointment. I asked for an explanation and afterwards, I had a conversation with him - I want to keep that private.
West Ham manager David Moyes, speaking to BBC Match of the Day: "I think every point is important in this league. I thought we created one or two good chances but I thought it was even between the two sides.
Everton manager Carlo Ancelotti, speaking to Match of the Day: "I'm quite happy. For 60 minutes the performance was good, at the end it was normal to suffer a little bit at 1-0 up.
"We were determined to have three points at the end and this is the most important thing.