The England captain was caught on camera appearing to gesture with his head towards Blues skipper Cesar Azpilicueta. Kane also tangled with David Luiz and three other Chelsea players.
But boss Mauricio Pochettino backed his man insisting: “I think today the way that he fought and ran and was on the pitch was a perfect level, physically and mentally.”
Pedro’s 57th-minute strike and an own goal from Kieran Trippier saw Chelsea bounce back from Sunday’s Carabao Cup defeat to Manchester City .
Pochettino responded by writing off Tottenham’s title hopes.
Sarri was more focused on dragging faltering Spurs into the battle for a top four place.
The Italian, who replaced Wembley bad boy Kepa with Willy Caballero, said: “This was a really important win because we are fighting for the top four.
“Maybe, with this result we can involve Tottenham in this battle. The gap is very large, seven points, but maybe.”
Explaning Kepa’s demotion following the Spaniard’s refusal to be substituted in Sunday’s defeat to City, Sarri said: “I didn’t tell him anything.
“In the match-day, I don’t speak with the players in an individual way. I want to speak on match-day only with the team. I told him in the team meeting.”
But, asked whether Kepa remains first choice he said: “Of course. Kepa made a big mistake. He paid with the club. Then he had to pay with the team.
“But now I think we have to stop. Kepa, from tomorrow, will be with us.”