The London club returned to the foot of the Barclays Premier League on Saturday after they suffered their seventh defeat of a so-far winless season at Stoke.
"I believe you should give the manager until Christmas," Marsh told BBC Radio Five Live's Sportsweek programme.
"If you look at any successful team it is always based on continuity and consistency.
"Just look at Arsenal and Manchester United and what they have done with Arsene Wenger and (Sir) Alex Ferguson. Yes, they have gone 11 games without a win, but I hate it when owners keep on sacking their managers after a run of bad results.
"Mark Hughes has been under the cosh for the last four games. It was only six games into the season when they were saying 'Hughes out'.
"That can't be good for anybody within the football club. I believe in continuity and consistency."