Matic, who joined United from champions Chelsea in July, played a key part in Jose Mourinho's side picking up consecutive victories and the Serbian credits the results to the players' unity off the pitch rather than individual performances.
"It's just the beginning of the season, but I am confident," Matic said.
"It's always special when you play for Manchester United and there is always pressure, but we are ready to cope with that."
United will return to the Champions League next month after winning the Europa League in May.
"The group is great, we are all friends in the changing room and that's very important. The season is long, so we have to have a good group, have good communication, and this team has that. I'm happy to be a part of this."
Matic says the team are not becoming overconfident after notching two wins and are looking ahead to Saturday's match against Leicester City, champions in 2015-16.
"We're not getting carried away... we're two games into the season and we've got another tough game against Leicester City next week, which won't be easy. I'm just pleased to be playing," Matic added.
(Reporting by Aditi Prakash in Bengaluru; Editing by Keith Weir)
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