The Belgium international became the only major signing made by the Premier League champions in the transfer window after United agreed a £27m deal with Everton on deadline day.
"It's something I welcome," FIFA.com quotes Carrick as saying. "The more top-quality players you have in your squad, whether it's in my position or not, the better it is for the team. It's not a case of me thinking I might not be in the team. I will still have to play well to be in it regardless."
United currently sit seventh in the Premier League table following three games.