Early career in 2010 Gigot spent time in the youth team at the
London Broncos. He signed with the Catalans Dragons in 2010 and made his
Super League debut that year, playing a total of 15 games and kicking two goals. He also represented Catalans in the 2010 Challenge Cup where he played 2 games and scored 1 try. In 2011, Gigot played 7 games throughout the season for the Catalans Dragons, kicking 1 goal. He once again represented Catalans in the 2011 Challenge Cup, where he played 1 game. As well as playing for the Catalans Dragons, in 2011 Gigot played 9 games on loan for
Toulouse Olympique in the
2011 Championship. He scored 5 tries. After being released by Catalans, Gigot signed with the
Avignon Bisons to play in the 2012-2013
Elite One Championship.
Cronulla-Sutherland Sharks Gigot was given an early release by Avignon at the start of 2013 so he could travel to Australia for a chance to play in the Australian
National Rugby League (NRL) competition. Gigot spent pre-season training with
St. George Illawarra Dragons before signing a one-year deal with the
Cronulla-Sutherland Sharks. He did not feature for the Sharks at NRL level, however.
London Broncos In February 2014,
Super League club
London Broncos announced the signing of Tony Gigot for the 2014 season. He played two matches and kicked four goals before leaving the club to re-sign with Avignon.
Return to Catalans In May 2015, the
Catalans Dragons announced the resigning of Gigot. He made his second debut for the club playing as a centre in a 37–34 victory over
Featherstone Rovers in the
Challenge Cup. The following week he made his Super League return for the Dragons, scoring a hat-trick in a 58–14 victory over
Wigan Warriors. On 10 February 2017 it was announced that Gigot had been banned for two years by the French rugby league authorities for an incident with an anti-doping official during a training camp in October 2016. It was reported that Gigot had not failed a drug test and that supported by his club, Gigot appealed the ban.
Toronto Wolfpack At the end of 2019, Gigot and Catalans Dragons failed to come to terms on a new contract. As a result, Gigot started the 2020 Super League season without a team and trained with Avignon to stay fit. In February 2020, the
Toronto Wolfpack announced that Gigot would join the team for a four-week, unpaid trial period. On 3 January 2021 Wakefield and Gigot cancelled his contract by mutual consent a due to homesickness.
Sporting Olympique Avignon (re-join) On 29 January 2021, it was reported that he had signed for
Sporting Olympique Avignon in the
Elite One Championship.
Toulouse Olympique On 7 May 2021 it was reported that he had signed for
Toulouse Olympique in the
RFL Championship. In January 2022, Gigot was appointed captain of Toulouse, following the sudden departure of
Johnathon Ford. ==International career==