Palace have won just one of their last 12 games – at home to Liverpool on November 23 – with the 3-1 Boxing Day defeat to Southampton seeing them slip into the relegation zone.
Warnock only joined Palace in August following the departure of Tony Pulis in the summer, but has paid the price for winning just three of his 17 games in charge in south London.
Speaking after the defeat to Southampton, Warnock accepted he would face fierce criticism from fans for Palace’s recent form.
“When you lose a game you’re responsible. I have no complaints, at 3-0 down, you’d be very surprised not to get a bit of stick. I thought the players were very good today in the circumstances, they were almost as shell-shocked as some of the fans,” he said.
“If I was a player today I’d blame the manager, it’s always easy to do that. The players know what I feel. We need everyone to be on top of their game. The goals are so poor.”