The 22-year-old midfielder is currently serving a three-match suspension following his clash with 17-year-old Charlie Morgan during the second leg of the Capital One Cup semi-final against the Swans at the Liberty Stadium earlier this month.
However the FA has charged Hazard over the incident, stating the standard sanction for violent conduct was "clearly insufficient" in the Belgian's case.
Chelsea argue a further ban would be excessive and will discover this week whether their challenge has succeeded. They are then entitled to accept or appeal against the FA's ruling.
Blues manager Rafa Benitez said at the weekend: "At the moment, we will accept that three games is enough. So we will see what happens.
"For a player that was in a cup competition, with this intensity and in the way that things are going on, I think that a three-game ban is enough."