Barnsley chief executive Bruce Mansford has said the club's board of directors supported manager Danny Wilson's decision to part company with his assistant Micky Mellon.
The Reds announced the departure of Mellon and goalkeeping coach Ian Willcock in a short statement earlier on Wednesday and Mansford stressed the decision was made in the best interests of the club.
Barnsley are currently bottom of the Sky Bet Championship and have won only three of their 15 league games since Wilson was installed as David Flitcroft's replacement in December.
"Micky's been at the club just over a year or so and Ian nearly three years, so firstly I'd like to thank them for their efforts since they've been under the employment of Barnsley Football Club," said Mansford.
"This season hasn't gone the way any of us would have hoped.
"We brought in Danny and we've got every confidence in him and at this stage, with a quarter of the season left to go at the business end, a change was going to be made.
"The board was going to support that change being made.
"I don't think there's any more to it than the management team was going to be changed and we were happy to support Danny in making that change.
"There's no more to it than that. It's football. It's a results business. It's sad to see two individuals move on.
"It's not easy, it's not pleasant but it's been done for the better of the the football club and I wish both gentlemen all the very best for their future careers.
"I think in the main that the staff won't alter too much. Paul Heckingbottom and Chris Howarth have been supporting the first team since David Flitcroft left, so they're readily available .
"I don't have specific names and individuals because we're not at that stage yet.
"We just felt a change needed to be made and that change was met with the utmost intention of being respectful to the two individuals that have left the club."
Former Fleetwood boss Mellon, 42, joined the club in December 2012 to assist Flitcroft, who had been placed in temporary charge following the sacking of Keith Hill.
Flitcroft was made permanent manager the following January and the pair kept the club in the Championship by securing a point at Huddersfield on the final day of the season.
Willcock, 35, had worked as goalkeeping coach at Bury, Carlisle, Accrington and Rochdale before joining Barnsley's backroom staff under Hill in December 2011.
Development coach Heckingbottom will continue to assist Wilson, who could opt to bring in the experienced Frank Barlow, with whom he worked at Sheffield United before the pair were dismissed in April 2013.