A panel of three will hear the appeal, to be attended by the Dunfermline director of football Jim Leishman and chief executive Bill Hodgins.
The Fife club fielded the suspended Calum Woods in the a 7-1 fourth-round win over Stenhousemuir on 9 January.
Dunfermline were also punished for further administrative errors in the fourth-round tie, including submitting an inaccurate team line, altering a named substitute and not registering two outfield under-21 players.
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The SFA ruled that Stenhousemuir would progress to face Celtic in the fifth round and claimed the integrity of the competition was paramount in their decision to expel Dunfermline.
Dunfermline apologised to their fans for the errors and indicated their intention to appeal, claiming the punishment was "excessive".
Source: BBC Sport
Source: BBC Sport