Glasner, who has announced he will leave at the end of the season, was barracked by traveling Palace fans on Thursday during their 1-1 draw at Zrinjski.
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The Austrian said, "They can say and sing what they want. I know what I'm doing.
"Be humble. Never forget where you come from. I think some of those who are so critical in this situation have forgotten to be humble.
"It had been easy for me to leave the club earlier. I had honestly spoken many opportunities. But I didn't. I felt a responsibility for the team - and especially for the players."