The Serbian, who got his first start for the Red Devils on Saturday in a 1-0 win over Leicester City had enjoyed just 22 minutes after four games.
Rattling to his current role this term, Matic also debunked meeting Ole Gunnar Solskjaer over his limited game time.
"The coach is the man who picks the team and when you are on the bench you are not happy, but I am trying to convince him to change his mind and pick me to play.
"The season is long. [Against Leicester] as you saw I played, and we won the game.
"I am happy so we will see in the future what the coach will decide. I am ready. In the last 10 years I have played in a high level and every game I try to do my best to help the team because I think I am a team player and I can help a lot I think.
"No, I never did that. I show my quality on the pitch, in training sessions and in games. This is not my way to fight for the place."
With United introducing young players this season, the 31-year-old also praised the brilliant performances by the youngsters.
"It doesn't matter if you are 18 or 35, you play for your team because you deserve to play," Matic said. "Manchester United are giving opportunities to the guys who grew up here in the academy and that's good because in big clubs they don't always get those opportunities. At big clubs, there is always the pressure to get results.
"This season we can see who is ready to play at a high level. I am happy for them. I like to see young players on the pitch and hopefully they can bring us some fresh energy for the rest of the season."
