Marsch apologized to the club's fans, but said he was certain the board were behind him.
After last season's final-day escape, Leeds are now only one point behind Wolves on goal difference.
The boos from the visiting support at the end of the first and second quarters came from the other side.
Marsch replaced Luis Sinisterra 15 minutes from time as they couldn't break down the Foxes. The travelling support rounded on the American for not acknowledging them as he traveled down the tunnel.
Marsch, who took over eight months ago, apologized to them. The fans were not against it.
I'm not sure what I'm going to say to the team. I'm focused on stopping the bleeding.
Marsch's position will come under a lot of pressure if they lose again when they play Fulham on Sunday.
He said it's too early to talk about another fight to avoid the drop.
He said that he was supported by the club and that they were united.
No one is happy about the loss. I am angry the same way I've always been.
The way the board supported Marcelo for a long time was something I saw before I arrived. Everyone has supported me the same way.
When a team goes through a bad spell, the first person to be questioned is the manager.
We're together." Last year we had to fight our way out of it.