While this is definitely a time of transition for the club, the 32-year-old is adamant that the expectations are still the same.
"Listen, this club moves forward all the time and we are always trying to bring players through, groom players and develop them," he told ManUtd.com. "You could say this is the start of something else because there are going to be changes between now and next season.
"How much change, we will have to wait and see, but it is about getting strong, improving and coming back next year to fight on all fronts again. That is certainly what the aim is and we shouldn't be aiming for anything less."
Expanding on his point, Carrick said: "There is no way we are settling for top four - that is not something we do here. We can't celebrate getting into the top four, that's not worth celebrating. We want to be challenging right at the top.
"I am not standing here and saying we are going to win the league next season, but that is what our goal is and anything less than that is not worth thinking about. Certainly, top four is not something that we will settle for."