The Eagles went into the match on a 19-match unbeaten run and looked to be extending their streak after taking a 37th minute lead through a Daniel Munoz strike.
However, Everton managed to score twice in the last 14 minutes following many missed chances by the visitors, condemning them to their first loss since the 5-0 hammering against Newcastle United in April.
"We are very disappointed today," said Glasner to Sky Sports.
"About the result definitely, because I think 60-70 minutes we played so well. So really top, top performance. But it hurts really massively today. I think the last defeat was in April.
“But maybe we need this disappointment, this pain, to feel this pain to make the next step forward. So, from the last defeat we had a great learning (experience), and we will do now the same,” added the Austrian.
Palace head into the international break in sixth place on the Premier League table and having won their opening Europa League clash against Dynamo Kyiv in Poland.
Nottingham Forest are set to receive a double injury boost ahead of their Premier League showdown with champions Liverpool after the international break, with both Chris Wood and Callum Hudson-Odoi expected to return to action.
David Moyes has praised James Garner for his outstanding form this season, saying the Everton midfielder is edging closer to an England call-up.
Leeds United manager Daniel Farke has provided a detailed update on the club's injury situation as the Whites head into the international break aiming to reset after a frustrating run of results.
Arne Slot believes Liverpool's toughest spell of the season is now behind them, with a crucial run of winnable fixtures offering a chance to reignite their campaign after a heavy defeat to Manchester City.
