Carroll hit 19 goals as United topped the Championship last season.
He told the Evening Chronicle: "I think we have good enough players - we can't be scared in the Premier League.
"Last season we scored a lot of goals and we have strikers who can still score a lot of goals in the Premier League. We had four lads on more than 10 goals.
"The service was the most important thing last season. The goals were coming on a plate for me because the ball was being worked into the right positions. The lads around us have helped a lot and they'll be important again next season."