Chelsea have made an official complaint about the referee's behaviour to the Football Association, but the Manchester United manager says the allegations are "unthinkable"
Chelsea have made an official complaint to the Football Association over the incident, while the Metropolitan Police have stated that they are working with both parties after also receiving a complaint regarding the referee.
But Sir Alex says that he does not believe a referee would "stoop" to making racist or offensive remarks, and says that he has never had a player make a complaint to him about a referee swearing.
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The Scot told reporters: "I don't believe Mark Clattenburg would make comments like that. I refuse to believe it. I think it's unthinkable in the modern climate. I just don't believe it. It's as simple as that.
"There's no way a referee would stoop to that [racist or offensive remarks]. I'm convinced about that. I think the modern game - if we see the game of 25 years ago - has completely changed. I played myself, and I know the banter goes on between referees and players is completely different from today.
"I've never had a player come to me in the last 15 years and say a referee has sworn at him in a game. Ever. So, that's where I stand. I don't believe it."
The United manager also commented on Saturday's game against Arsenal at Old Trafford, stating that he had no new injury problems, but warning that a repeat of last year's 8-2 victory would not happen again.
He added: "It won't happen again, that's for sure, but it could be a motivation for Arsenal."
The game will come too soon for Chris Smalling, however. The defender is back training with the first-team, with Sir Alex saying that he is not ready yet, but adding that his recovery is encouraging.