The Bhoys failed to pick up any silverware this season and manager Tony Mowbray was sacked in March.
“We have taken our criticism and we have had to take it so now we move on from that,” Brown told the club’s official website.
“It wasn’t the best season in the world and everyone knows that as we let the fans down and let ourselves down.
“We managed to win eight games in a row at the end of the season and we want to kick on from that into next season.
“I would rather the new season was starting tomorrow. I wish we could have continued playing as I don’t want a summer thinking of this season.
“We want to get started again and the results at the end of the season have heightened our expectations.
“Our determination to bring back success is doubled and some of the boys who were new to the club now know the situation.
“You cannot get beaten when you are a Celtic player. It just can’t happen and we have to bring some silverware back next season.”
