Goals from Antoine Semenyo, Omar Marmoush and Savinho — the first two set up by Phil Foden, the third by Rayan Cherki — gave City a commanding win that leaves Palace 14th with 44 points and no remaining objectives beyond the final two fixtures of their season.
Glasner was direct in his post-match assessment.
"Today we have to accept City were much better and too good for us. If you want to get a point or even more, you need a top performance, and we were far away from a top performance."
He pointed to moments in the second half where Crystal Palace might have made the game uncomfortable, but were unable to convert.
"Second half, we had a few situations to come back. City make one or two big mistakes, but we couldn't take advantage from it."
The first goal, Glasner admitted, was a consequence of City's individual quality in tight spaces rather than a defensive collapse.
"First goal, you see the quality City has once they get the ball in the pocket."
Palace had a goal disallowed in the first half for offside, a call Glasner acknowledged was correct despite the fine margins involved.
"Very tight offside goal, we knew they were playing very high line. Once we could take advantage, it was slightly offside."
On how the game slipped away after City's second goal.
"Second goal was bad defending from us, then, of course, it is difficult. I think we should have done better when we had the ball. We lost it too quickly and the pressure increases, and you can't defend everything."
There was a second-half penalty appeal from Palace that was waved away, but Glasner declined to make it an issue.
"I think it was more handball at the end, but the game was already decided. I have not watched it back. Again, we will never complain about the referee's decision as it is gone."
Despite the result, Glasner maintained the philosophical approach that has defined his time at Selhurst Park.
"I personally don't find it difficult. We want to play football, and we want to compete with the best teams. Today we could see City are better than we are."