The Gunners crashed out of the Champions League last-16 stage in dismal fashion, losing 10-2 on aggregate to the Bundesliga giants.
On the night, Arsene Wenger's side had a positive first half by taking a 1-0 lead through Theo Walcott, but after Laurent Koscielny was sent off for bringing down Robert Lewandowski in the penalty area, the Gunners collapsed, eventually losing 5-1.
After the game, Bellerin turned his attention to the fans, insisting that it is the players' responsibility to "make them happy".
"For me especially I'm really hurt seeing the fans leaving the stadium so early," The Independent quotes Bellerin as saying. "At the end of the day we play for them and want them to be happy and for them to get behind us.
"It hurts to see them leave so early. We need to make them happy with the rest of the season now. We know we've got the capacity and the potential to do well.
"We need to think about every game the same way. We started [well] and we know if we can play that kind of football we can be up there. I just want to say sorry to the fans because we can be better than that."
After falling in the first knockout round of the tournament for a seventh consecutive season, the pressure has intensified on Wenger, whose contract expires at the end of the season.