Solskjaer replaced Jose Mourinho in December 2018, as many believed that the manager would end the club's misery after the Portuguese failed to deliver a trophy since winning the Europa League in his first season.
In the Norwegian’s first season as caretaker manager, he helped the Red Devils progress in the Champions League, but soon, the club’s performance never really took off, which forced the management to part ways with the 52-year-old.
Despite the barrage of criticism that greeted his tenure at Old Trafford, Matic believes that the club performed well under the Norway legend.
"We finished second and third under him," Matic told FourFourTwo.
"There was an atmosphere in the team that we weren't happy finishing second, but when you see the results now, we did amazingly.
"I think Ole deserved more time - and when I say Ole, I also want to mention his staff, like Michael Carrick and Kieran McKenna. They were going the right way to bring United back.
"Of course, they made the decision to sack Ole based on his final couple of results, but he was an amazing person with the right profile for the club. He and his assistants understood football - training was perfect and had every little detail ready for us.
"I felt sorry because Ole was a great guy and we were on the way to doing something big. I wasn't his first choice in the midfield and never liked a coach when I didn't play - I'd fight with them.
"But Ole was the first coach I didn't fight with. He brought the players who weren't in the starting XI together. He knew the club and the fans loved him."