Saturday's 3-0 defeat at Hoffenheim was their fifth loss in a row, leaving them inside the Bundesliga's relegation zone for the first time this season.
The Dutchman, who replaced Thorsten Fink earlier this season, is not going to be made the scapegoat for their recent demise, though, with Jarchow saying he is growing tired of changing the coach.
Instead, Jarchow wants the players to face up to their responsibilities more and not use Van Marwijk as a shield.
"Even a defeat to Berlin (next weekend) would not change our faith in Van Marwijk," he said to Kicker magazine.
"We are pleased that Van Marwijk is in Hamburg.
"We are always changing coaches here and there is talk about the position once again. What annoys me is that the highly-paid players are as such taken out of the firing line again."
Hamburg are the only club in the history of the Bundesliga never to have been relegated.
"I cannot imagine Hamburg in the 2. Bundesliga," said Bayern Munich's honorary president Franz Beckenbauer to Sky television.
"That's why everything has got to be done to prevent it. It cannot be that Hamburg get relegated."