The 36-year-old, named permanent skipper following Wayne Rooney's summer exit, has yet to play a part in the Red Devils' opening two games of the season.
After being an unused sub in the 2-1 defeat to Real Madrid in the UEFA Super Cup last week, Carrick was left out of the squad entirely for the 4-0 thrashing of West Ham United in the Premier League on Sunday.
Rather than get frustrated, the English midfielder is happy to bide his time as he feels that his chance to shine will arrive sooner rather than later.
"We've got a great squad," Sky Sports News quotes him as saying. "It's a long season and there will be a lot of games. Hopefully, we can go far in the cup competitions. There will be a lot of games, just like last year and there is going to be a lot of rotation of the squad."
Asked about his role as captain, Carrick added: "It's a big honour for me, it's very special to be in the position I am. It probably comes with me being here for quite some time now and being the oldest in the squad. It doesn't really change an awful lot from day-to-day.
"There's obviously more responsibility but I think that's a natural thing. You've got to try to lead in certain ways but I'm just trying to be myself. You can't suddenly change because you're put in a different role. You just got to be yourself and respect all the lads like I do."
Carrick appeared 38 times for United last season in all competitions, including on 23 occasions in the Premier League.