Carrick, while contracted to the end of the season, confirmed he has a say on decisions being made over the mid- and long-term.
United's manager is said to have had his say on Harry Maguire being awarded a new contract last week.
Before Monday night's clash with Leeds United, Carrick was asked if he was involved in player contract talks.
"Certainly, in the role I'm in, there's decisions that need taking care of," he said.
"I said it as soon as I came here - I'm part of that and whatever that looks like moving forward, I'm part of that.
"I'm trying to improve things and make things better all the time. Certainly there's conversations in different directions and different things that I'm definitely part of.
"And I think it should be that way anyway, because things need done. So I'm here to take care of that."