Cardiff could find themselves back in the bottom three by the time they take the field at Wolverhampton Wanderers on Saturday, with Southampton, who are a place below them, hosting second-bottom Fulham later on Wednesday.
"I know my team for the Wolves game and I want people who will be in the trenches because I was let down by one or two tonight," Warnock told reporters. "I'm not going to throw the towel in and I'll make sure we're ready."
After beating Bournemouth and Southampton in succession to lift themselves out of the relegation zone following the death of new signing Emiliano Sala in a plane crash last month, Cardiff have now lost two matches in a row.
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"We've got to make our own luck," Warnock added. "We've got 10 games left, difficult games, and people will probably be rubbing their hands now at playing us, but as I've said to the lads we're not going down without a fight."
(Reporting by Hardik Vyas in Bengaluru; editing by Simon Jennings)
