The 33-year-old was fined and dropped from the England squad following an RFU investigation into his conduct during a night out in Queenstown during the World Cup.
Tindall was among the group of players who went out for drinks after being given the night off and he was captured on CCTV footage from the Altitude Bar in conversation with a woman.
The Gloucester centre later issued an apology for misleading the England management over his movements that night, having initially claimed he did not go on to another bar.
The Rugby Players' Association described Tindall's fine, which was handed down by the RFU's elite rugby director Rob Andrew, as "extraordinary" and "unprecedented".
Tindall's appeal will be heard by the RFU's acting chief executive Martyn Thomas.
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