The Serbian midfielder made just his seventh appearance of the season in the 3-0 Carabao Cup win over Colchester United, starting in central midfield and playing the full 90 minutes.
"Of course, when I'm on the field I always try to do my best, I always try to help the team," Matic told the official club website.
"When I'm on the pitch, I'm happy and I will continue to do my job.
"We have to be more consistent in our games, but this is normal for a young team without experience.
"This is normal and I'm sure those young guys in our changing room - they are the future of Manchester United."