The 23-year-old was dismissed in the 52nd minute at Stamford Bridge on Saturday after bringing down Bafetimbi Gomis as he raced through on goal in the opening-day fixture.
France forward Gomis went on to equalise from the resulting penalty.
If the appeal is unsuccessful Courtois will be replaced by close-season signing Asmir Begovic for Sunday's trip to Manchester City who finished second in the league last season.
(Reporting by Tom Hayward, editing by Tony Jimenez)
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