Hughton was sacked on Sunday evening, a day after the Canaries slipped to a 1-0 home defeat to West Brom that left them just a place above the relegation zone.
Youth coach Neil Adams has been promoted to the top job, tasked with galvanising the squad ahead of a seemingly crucial Premier League fixture against survival rivals Fulham this weekend.
But Martin insists his team-mates had been unwavering in their support for Hughton and his backroom staff.
"I don't know what that means, losing the dressing room," Martin said.
"We didn't stop playing for him. The boys have tried and given everything for him but it has not been good enough for a while."
Colin Calderwood and Paul Trollope have also left coaching positions at Carrow Road but Martin says the fight to stay in the Premier League leaves no time for sentiment.
"We were in and training on Sunday as usual and then we were informed last night so we haven't had much time to react," Martin added.
"Unfortunately it is the nature of the game but the club have made the decision and now we have to move on.
"It is obviously disappointing to see three men go who we all respect and had good relationships with, but unfortunately it hasn't worked out.
"But we take a big part of that responsibility as well because we didn't perform consistently enough for them."
New boss Adams will know a positive result at Craven Cottage is a must with his side facing four daunting final fixtures against Liverpool, Manchester United, Chelsea and Arsenal.