Pearson told the Hull Daily Mail: "Make no mistake - and whether or not we secure promotion this season - this football club is set for a really exciting future. I am more determined than ever to give the fans the side their support deserves.
"I hope we will be playing Division Two football next season but if that is to happen then we need our 'big' players to start taking responsibility and show they have the same ambitions as everyone else.
"The players who do that will be very well looked after in terms of contracts, training facilities and everything else that goes along with being involved with a successful club. It is a great opportunity and I can't think why anyone would want to miss out."
He continued: "I'm not criticising anyone. I've said things in the heat of the moment before but that's in the past now. This is more an appeal for the players to pull together.
"We're going to have a battle on our hands getting into the top three but if we can string together a few wins then anything is still possible. If we have to settle for the play-offs then that would be the next best thing. However, let's really give it our best shot."
If Luton lose to Bristol Rovers tonight then City have the chance to move into an automatic promotion place on Friday night, with Macclesfield coming to Boothferry Park. However, City will have played two games more than the Hatters.
Meanwhile, Pearson also said the the club's support will be rewarded with "major signings" for next season, and several players have already been targetted.
"The supporters deserve success and there will be substantial investment in new players during the summer, irrespective of whether we are still a Division Three side. We are looking at major signings."