Palace will learn today whether they will compete in the Europa League or Europa Conference League this season.
In the meantime, after their triumph against Liverpool on Sunday, Glasner said: "No (I wouldn't swap it). The players were not scared of noise around us.
"Tomorrow we have no influence, so we celebrate tonight, meet tomorrow for lunch then training. We can't think about it."
Shootout hero Dean Henderson also told BBC Sport: "I think you will see by today, we don't take too much notice of it at the end of the day. We win the FA Cup, we are justified to be in the Europa League.
"For football purposes we deserve to be in the Europa League. I think it would devalue the competition unfortunately if we weren't in the Europa League.
"Things that are won on the pitch should be rewarded and I think every neutral football fan would agree with that. Let's see. I know the chairman (Steve Parish) has fought hard against it and fingers crossed we are in the Europa League like we deserve to be.
"I know Crystal Palace fans have waited 120 years, maybe even longer, for the first trophy and chance to go on a European tour.
"To have that taken away from us is just not right for football and I think everyone would agree with that. I am sure they will see sense and put us back in the Europa League."