The South London club have just one win in their last 15 games across all competitions after their disappointing 1-1 Europa Conference League draw with Zrinjski Mostar on Thursday (February 19).
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According to Fabrizio Romano, Palace held talks with Glasner over his immediate future and have decided to stand by him.
Glasner will still leave the club at the end of the season on his contract expires, however, which has been confirmed by the club and manager.