Ismaila Sarr, twice, and Yeremy Pino struck the goals for Palace at Anfield.
“A very good result,” Glasner said on Palace TV. “To be honest, the first 15 minutes, I was not pleased with our performance. It looked like we were still in the hotel beds, but then the rest of the game we did well, we scored very nice goals.
“I think in attack we still could have created more clear chances in the second-half, and the last ball wasn't so good. But again, winning 3-0 at Anfield is a great result. Reaching the quarter-finals was our goal, and we did it.
“Just one negative aspect: Eddie Nketiah unfortunately got injured with his hamstring again, but everything else worked how we scheduled it.”
Glasner also said: “We’re always talking about our standards.
“Regardless of how the score is, regardless of where we are playing, regardless of which team we are playing, we set our standards. We want to play Crystal Palace football in and out of possession.
“We want to see the patterns we are training, we are talking about, and making the runs. The players did it. I think we can still do it better.
“Playing the champions three times in three months and winning all three games is exceptional. Credit to the players, because they did it.”