The former Red Devils midfielder - who had won two Premier League titles and an FA Cup at Chelsea before moving to Manchester in 2017 for a five-year stint - has given his feelings on the difference in mentality between the clubs at the time.
He told the Athletic: "Roman Abramovich would only ask us [Chelsea] about results. At United, it was more commercial-minded. I started to think that after a couple of months in the club.
"I understand that our salary needs to be paid, but I felt that the results were not the focus like it was at Chelsea.
"I maybe did two commercial jobs at Chelsea, at United it was far more.
"I arrived at United with the anger to win trophies like I had at Chelsea, but step by step I started to feel that trophies were not the focus. Maybe I'm not right, but that was my feeling inside."
However, Matić insisted the players always gave it their all at United.
He said: "We did our best every single year, the players, the coaches. In my first year, we finished second. We were leading in January but Man City won.
"We finished second, sixth, third, second and sixth. We played in the Europa League, Super Cup and FA Cup finals. We played Champions League in four of my five seasons. But we didn't win.
"If I compare how we did with United now, then we did great, but of course United cannot be happy finishing second. United need to be winning leagues."
He insisted there were no "major problems in the club at the time", even if the players came under heavy criticism.
On Thursday (10.04.25), Matić's current team Lyon will host United in the first leg of the Europa League quarter finals.
He said: "It's a big game. The fans will be loud here. The fans are different to England. To get the same support that you get in the Premier League in France, you need good results."