Heys, managing director at Stanley, has been suspended from all football activity for 21 months after he admitted to 735 breaches of betting rules at a hearing last Thursday.
He was also fined £1,000 but intends to appeal the punishment.
Marsden released a statement on Monday evening which also revealed that Heys has stepped down as a director of the club.
It read: "Accrington Stanley Football Club recognise the important and valued work Rob Heys has carried out for us over many years, often in trying circumstances, but are also extremely mindful of how grave an offence breaches of the FA and Football League betting rules are.
"Rob has been suspended from working for the club pending the outcome of his appeal to the FA. This appeal is thought to be taking place in about four weeks' time. He has already resigned as a director of the club.
"I have asked the FA for all the background papers and documents relating to the case so that they can be examined by the board of directors.
"In the meantime we have a football club to run and an interim steering team has already been in place for the last two weeks and this team will continue in place for the immediate future.
"I appreciate the length of Rob's ban from working in football may have divided our fans but ask that everyone come together for the sake of James Beattie and the squad. I know that Rob would wish the same too.
"At other football clubs all too often off-the-field events have adversely affected what has happened on the pitch and I absolutely refuse to let this happen at Stanley.
"Our strength over the years has been everyone pulling together and this is as true now as it has ever been."