Hughton was sacked on Sunday evening after the Canaries slipped to a 1-0 home defeat to West Brom that left them just one place above the Barclays Premier League relegation zone.
Having won just one game from their last six Hughton has been replaced by Neil Adams having lost the support of the fans following the loss, with the backing of the boardroom also waning after another disappointing display.
But Martin insists the players were fully behind Hughton and his backroom staff until the last moment.
"I don't know what that means, losing the dressing room," he said.
"No. 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."
With Colin Calderwood and Paul Trollope also leaving their respective coaching positions, Martin admits it was a shame to see the trio go but is keen for the players to perform and get the Adams regime off to a winning start in a crucial relegation clash at Fulham this weekend.
"We didn't have time to reflect following Saturday's result really," he said.
"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.
"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.