The Austrian manager's current deal is due to expire in June.
And transfer expert Fabrizio Romano is reporting Glasner will resist all attempts by Palace to open new contract talks.
Instead, he is preparing for the "next step" in his career after leading Palace to a historic FA Cup triumph last season and qualification for the Europa Conference League.
Glasner, who has been linked with Manchester United and Chelsea, has complained about a lack of squad investment this season by the Palace board.
He stated, “When you play European football for the first time in your history, let’s invest instead of save. We saved and that’s what we are facing.
“But these players, this group of players, giving everything, so no blame for the players because they are leaving their heart on the pitch.”
He added: “We all would have wished a little bit more backing, yes.
“Sorry to disappoint you. Patience is not something for me, you know, we want to succeed, and we want to win games in every competition.
“It’s easy, we could say now when we play Arsenal in the (Carabao) Cup, not an important game for everybody, for the club, nothing to win, but I don’t want this, I don’t like this attitude.
“So for us, it’s compete every single game, and the club has to get the resources to get this done because this is the progress, and if we don’t want progress, OK, let’s stop playing.”