The last couple of weeks have seen reports of leaked emails making Malky Mackay's position untenable which ultimately led to his dismissal.
The world's media have given Cardiff a virtual kicking and that has been acknowledged by the club.
"I hope you'll forgive us for that and put some trust in us to build this club to what I think it can be built into," said Dalman.
"This club has huge potential but it all has to start at the football pitch. So less noise about non-football and a lot of noise on the football pitch.
"I sincerely apologise for that because that was never our intention."