Hodgson is said to be recovering well after he collapsed in front of players and staff during training on Thursday.
His assistants McCarthy and Lewington will lead the team on what is a big night for both clubs in their battle against relegation.
Palace are preparing for life after Hodgson following his worrying episode last week, and the 76-year-old could call time on his long career as a manager.
Glasner has agreed to replace Hodgson on a deal until 2026.
His appointment was not confirmed over the weekend, but the former Eintracht Frankfurt manager was already getting to work after being tasked with keeping Palace up.
Glasner held talks with Palace chairman Steve Parish in a London hotel on Friday night and was then at the Tottenham Hotspur Stadium on Saturday scouting Spurs, who Palace face on March 2.
His first game in charge looks set to be Saturday’s home game against Burnley.
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