Palace were beaten 1-0 via Riad Bajic's strike for the Cypriots.
The easy answer is that we didn't score from the chances we had." Glasner said afterwards. "We made one mistake and they punished us. I think that's the summary.
"We were against a very deep block and it's not so easy to create 10 clear cut chances. But at the end we had 13 or 14 finishes inside the box and we were not clinical enough to take the lead, or score enough goals.
"They had in total I think four shots and we made one mistake. So, congratulations to Larnaca. They were very efficient.
"For us there's a little bit of deja vu. We have had games where we create many chances, but don't score enough and then get punished.
"That is what we have to learn and what we have to improve."
Glasner added, "It's about staying humble. Yes, we will learn from it.
"The players will learn from it, I know this group, I know these players.
"It's disappointing. It's a frustrating night. But on the other side, maybe the whole environment needed it to stay humble."