Accrington have gone beyond early-season predictions with their form to date, losing just one of their past eight league outings, and Coleman remains confident they can still improve.
He told the Lancashire Telegraph: "The lads are only young but their work-rate and effort is tremendous. The lads have the belief and I hope we can keep them going on this run because we are going well.
"Expectations around the club have changed. We don't accept second best. The lads are starting to believe it could be their year and the confidence is oozing out of them. We have a great team spirit and the right will to win. I have every faith in the team going on from this to the next level."
Meanwhile, Liverpool goalkeeper Dean Bouzanis has extended his loan stay at the Crown Ground until the end of the season.