But Drogba, who announced his retirement on Wednesday, believes Mourinho would have been successful at the Etihad.
"I think if you put [Mourinho] at Manchester City, he would have won the league twice, maybe two or three times," Drogba told the Mirror.
"You get criticism because you set a standard of winning, winning and winning and now you’re not winning or having the same results.
"He is still [at Manchester United]. You have to look at all the managers who were at Manchester United the last few years.
“Being manager after Sir Alex Ferguson is not easy and the finances that they had then are not the same as what they have now.
Manchester United boss Jose Mourinho has been under immense pressure this season (Image: GETTY)
Jose Mourinho managed Didier Drogba at Chelsea (Image: GETTY)
"People only pay attention to the best and he’s one of the best and that’s why he gets all of this."
Mourinho has been under immense pressure at Manchester United this season.
The Red Devils already sit 12 points behind leaders City in eighth place in the Premier League table.
And former United midfielder Juan Sebastian Veron believes Mourinho’s side are still struggling from the retirement of Sir Alex Ferguson in 2013.
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