The Blackburn boss is grateful that Sir Alex defended him during his tough spell in charge of Rovers but is aiming for another victory over the Red Devils on Monday evening
Sir Alex publicly spoke out for his fellow Scotsman following various marches and protests by Rovers fans calling for Kean's head earlier in the season. A recent run of good form however has propelled the club into 16th position, with many having written them off earlier in the campaign.
"He has held his dignity very well and deserves 100 per cent praise from everyone, including his own supporters," said the 70-year-old.
"I am sure that a lot of them [the fans] are saying to themselves ' I wish I hadn't done that'.
"Things can change. You have to dig in and not let it get to you. Now no-one is talking about fans having protest marches."
The Blackburn manager showed his appreciation for the words of support from the United boss and admitted it had helped him considerably when he was at a very low point in his career.
"It's fantastic when a manager who has won what he has finds your number and speaks to you in person. I take my hat off to him," Kean told reporters.
However, the former assistant to Sam Allardyce at Rovers was looking forward to the match against United.
"It's a tough one but we had a positive result earlier in the season," reflected Kean.
"We played very well there so there's no reason why we can't acquit ourselves well again at our place."
Blackburn recorded a sensational 3-2 victory at Old Trafford back in December which was a pivotal moment in their season.
Meanwhile, Sir Alex is aware of his team's relatively poor record at Ewood Park - only two wins from their last 11 visits - but finds it difficult to explain.
"I can't answer why," he said.
"When Blackburn score they make it difficult for you, so maybe the answer is to make sure we keep our noses in front."
Sir Alex is reported to be fielding the same side that which lined-up in the edgy 1-0 win over Fulham last Monday, in which a strong penalty claim by Danny Murphy was turned down by referee Michael Oliver in the closing minutes of the game.
Patrick Vieira this week suggested that United benefit from major decisions, but Kean was philosophical about such issues.
"There's been occasions this season where you get a decision and sometimes you don't. I believe they do even themselves out. I've always trusted the total integrity of referees, they can only give the decision the way they see it," said the Rovers manager.
"We managed to get a penalty, which I thought it was, at Old Trafford. We didn't manage to get one on Saturday at Bolton, which I thought was as well.
"But we've always got the beauty of seeing it in high definition, six or seven different angles, frame by frame. I think the referees give what they see and I would never question that."
How do you stay up to date with football when on the move? With http://m.goal.com – your best source for mobile coverage of the beautiful game.