Palace earned a hard-fought 2-1 aggregate win in Larnaca to secure a place in the last eight of the competition. Two goals from Ismaïla Sarr won the day, but that doesn't tell the full story of a dramatic night that also saw the tie go to extra-time and the home side see two red cards.
But the result means the Eagles will now face Italian side Fiorentina over two legs next month for a place in the semi-finals.
"It's the story of our season," Glasner told Palace TV. "Scoring, then losing a goal to a set-play. But I liked the reaction of the players.
"We got the belief back and created good chances. We scored the goal and we could have decided it much earlier of course.
"When you're just one goal up, it's always very tight of course. But we achieved what we wanted to achieve.
"I was pleased with many parts of the performance, even if we're still missing one or two things.
"But we're in the quarter-finals. So my congratulations to the players.
"Thank you and congratulations to our supporters and fans. They were very loud today and it's not easy in this emotional atmosphere, but we could really hear the support.
"They pushed us and always stuck with us.
"Now our European journey continues."