The pair were Premier League champions together at Chelsea and now they are looking for more success at Manchester United.
Matic’s £40m move from west London is looking like great business following his fine start to the season.
The Serbian produced yet another dominant midfield display as United beat Benfica 1-0 in the Champions League last night..
Discussing how his relationship with his boss is, Matic explained: "Mourinho is a brand, and the best coach I've ever worked with.
"Sometimes it isn't easy to work with him, because he always demands more.
"Even when you play the best match in your career, he considers that you can play better in the next match.
"I co-operated excellently with him at Chelsea, and the fact that Mourinho is the coach at Manchester was the decisive factor in my choosing my new environment.
"Privately he's completely different from the way he is perceived by the general public.
"This is a man who possesses all human virtues. He's not at all cold or conceited, as he is presented in the media.
"He has created an excellent group of players with huge potential, and everything is there for us to achieve good results.
"I don't want to talk about the goals of the club, but when I mention Manchester United I think the ambitions are clear to everyone.
"We will do our best to achieve the results that previous generations had."
Matic has enjoyed a fine career but he has a long way to go to become United’s most successful Nemanja, given how much compatriot Nemanja Vidic achieved with the club.
He added: “Vidic is spoken about with great respect in Manchester. He was a fantastic player, one of those I looked up to.
"When I debuted for Serbia, he was one of the captains; he was a real leader, one of the greats.
"Nemanja left an indelible mark at United. Just imagine how hard it is to be a foreigner and the captain of a team like the one at this famous English club.
"I will do my best to repeat the success that Vidic had, and I know that it will be very tough.
"I do not want them to ask me someday, 'what are you even doing here?!'.
"I'm privileged to be following in his footsteps, and if I'm even half as respected among the fans as Nemanja I will be overjoyed.
"I am also honoured to be using the same dressing room where he spent the golden years of his fantastic career."
