The Bluebirds chief is keen to put the Malky Mackay saga behind the club and move on under the stewardship of Ole Gunnar Solskjaer, who will be backed in the January window
Cardiff supporters made no secret of their disapproval at the manner in which owner Vincent Tan treated previous manager Malky Mackay, with a series of public spats leading to the Scot's dismissal despite having won promotion to the Premier League.
Solskjaer was confirmed as Mackay's successor on Thursday and Dalman is eager to draw a line under the turbulent times and concentrate on Cardiff's battle to stay in the top flight.
"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," he said in a message to the club's fans.
"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."
Former Manchester United and Norway striker Solskjaer, who has signed a rolling contract, has been assured he will be backed in the transfer market this month and has already briefed Dalman on the players he wants to bring in.
Dalman said: "He knows what he wants and yes we have discussed all that. The first and only objective is to remain in the Premier League."