The Manchester City manager also believes the 50-year-old will turn the west London club into title contenders, but feels Rafa Benitez has excelled in his time at Stamford Bridge
After a tumultuous season the 50-year-old is poised to leave Real Madrid and looks certain to re-join the current European champions having, as Goal.com revealed last week, agreed a deal that will see him return to west London after a six-year absence.
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Mourinho is set to replace interim manager Rafa Benitez, whose contract expires at the end of the campaign, and Mancini feels the Spaniard has excelled at Chelsea, despite a troubled relationship with the club's supporters.
"Maybe he was weighed down by his past in Liverpool, but from the professional point of view, he has got the most out of the club," he added.
"He's led Chelsea to the final of the Europa League and is third in the league."
It has been suggested that Mancini's own days at Manchester City might be numbered if he fails to beat Wigan in the FA Cup final, but the Italian believes those predicting his demise have ulterior motives.
"It is false that my future depends on Saturday's FA Cup final at Wembley," he insisted.
"The truth is that I am an Italian coach and City have broken the order of English football. Now here we are and it bothers them.
"They are fictional stories in the British press. It is absolutely not true and I have never felt in danger.
"They criticise me for second place, but if this was a valid argument, they should fire everyone, apart from [Sir Alex] Ferguson who won the Premier League and [Michael] Laudrup who won the League Cup.
"The truth is they do this because I am an Italian coach and because the City has broken the order.
"Until a couple of years ago English football, with its earnings, was in the hands of Manchester United, Chelsea and Arsenal.
"Now here we are and it bothers them. The City from 2011 to today won three trophies and if we win the FA Cup it will become four: not bad for a club that was dry for 35 years."