Ismaila Sarr struck for Palace first before Callum Hudson-Odoi levelled for Forest.
Palace are now unbeaten after 12 games and Glasner said afterwards: “I said this to players afterwards, because they were a little bit frustrated. When you have the lead, you also want to win the game, and big credit to the players who are there dealing with the situation.
“The fourth game in two weeks, being unbeaten, and in these four games we played Liverpool, Chelsea and Nottingham (Forest) – three teams from the top seven of last year’s table – so that’s why, really, all credit to the players.
“We know that we can play better football than we did in some parts, especially in the second-half. But we know we will do this.
“It looked like the legs were getting a little bit fatigued, with many players who’d played every single minute (this season). But the players are dealing well with it and being unbeaten. I also think the draw was a fair result today.”