The 25-year-old, who received a three-match ban for being threatening and/or abusive towards the referee, is "glad" that the row is over and hopes that all involved can "move on"
The 37-year-old official was cleared by the Football Association, after they concluded that the evidence was not strong enough, with Blues' team-mate Ramires the only person to hear the alleged words.
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The 25-year-old has assured that there would be no issue if the Premier League referee took charge of the west London side again this season, adding he is hopeful everyone can move on.
"Everything is put to bed, we move on," Mikel told reporters. "If he refereed a game there would certainly be no problem.
“I am glad it is over. I am sure he is glad it is over as well, and the FA is glad it is all put to bed and we can move on from here.”
Of racism in football as a whole, the central midfielder, who recently signed a new five-year deal at Stamford Bridge, said the governing body must work with the players to beat the problem.
“It has been there for years,” he added.
“Hopefully everyone will work together – the players and the FA – to make sure we try to stop things like that.”