The Eagles are only a point off the play-offs, but their three remaining away games are tricky trips to high-flying Stoke, Watford and Hull.
Warnock's side took a point from their most recent away game, as defender Matt Lawrence scored in injury time to rescue a 2-2 draw at Sheffield Wednesday.
However, the gaffer says his players are confident against anyone in the Championship.
"We now have six games remaining and some of those are against teams who are above us. But I prefer those which see us as underdogs," Warnock told the official site after Saturday's match.
"We know there is nothing to fear and today keeps us going along with an important point and we are in the mix.
"I'd rather be at the top end of the table than the bottom and it's great to be involved with six games to go."
By taking just a point from relegation threatened Wednesday, Palace missed the chance to get back in the top six. However, Warnock was happy enough to avoid leaving Hillsborough empty-handed.
"It would have been disappointing to have got nothing from the game as we had so many chances through the game, many before we had equalised towards the end of the first half," he said.
"The defence had a bad day at the office and were guilty of being sloppy and after being dominant we ended up under the cosh".