Kanoute wrote on his Twitter account that he regretted the incident -- which came at the end of UEFA's Football Against Racism in Europe (FARE) week -- saying it "was not a good example".
"Nonetheless there was provocation and insult, as you are already aware," the former Tottenham Hotspur player said.
"But don't think about it anymore. His behaviour, like mine, was bad. Issue closed. Let's get on with the football."
Fabregas and Kanoute later spoke by telephone and said they had said sorry.
"We both apologised and agreed the matter was settled," Fabregas Tweeted.
Kanoute added on his Twitter feed: "The issue was explained and we are both adults and aware that we were at fault yesterday. The matter is closed."
Fabregas's Barca teammate Daniel Alves defended the Spaniard at a news conference following a Barca training session on Sunday.
"There are moments when your pulse is racing and you don't say please when you are asking for things," the Brazilian defender said.
"But it's clear there was no racist insult, above all from Cesc, who is a fantastic lad and would never do that."
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