The result leaves Palace in 18th place on the Premier League table.
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Afterwards, Glasner said: "I am sure that if someone thinks that change is needed, they will say so to me.
"I am always in dialogue with my sports director and the chairman of the board. I never worry about my jobs. I am over 50, everything is fine."
Instead, Glasner is focused on only one thing.
"All I'm thinking about is how I can help the team get that win and get their confidence back. I'm not worried about myself," he added.
