Larnaca managed to hold Palace at Selhurst Park in the first-leg of their round of 16 tie.
Glasner reflected afterwards: “I think the performance was absolutely okay. Maybe it was not a top, top performance, but it was okay. We had enough chances to win the game.
“We were very well organised – we didn't give them the transitions that they were waiting for. We knew that it's not so easy to create chances and score goals – it was Larnaca’s seventh game now in the Conference League, and they’ve just conceded one goal.
“I think we had opportunities to score at least two. But also, credit to their keeper, especially in the first-half, two big saves.
“One was against the keeper and we had a free finish, I think, from five, six yards. Of course, twice it looked like we hit the keeper straight on, and therefore we needed more accuracy.
“It’s the first leg, so the decision will be taken in Cyprus.”
He added, “Maybe we have to change a few things. On the other side, again, I think it was 12 to one shot, and it was clear if a team just conceded one in the group stage, then they wouldn’t concede three or four against us.”