However Arsenal go into Sunday's north London derby, amid the most difficult period of his 12-month reign at the Emirates, with the Gunners 14th in the Premier League having scored just five goals in their last eight league matches.
But Mourinho told Sky Sports News: "He is a good coach. He is a talented coach. He won already an important competition in the first few months of his career; that we cannot deny.
"To be the Arsenal coach, you have to be good - if you are not good, you are not there.
"So yes, I think Mikel is a good coach but I want to respect the others - especially the others that I don't know well and probably are also very talented."