with JYP Jyväskylä at the 2011–12 season. Auvitu left his native France in 2008 to continue his development with
JYP Jyväskylä of Finland. He logged his first minutes in Finland's top-flight Liiga during the 2010–11 season. In 2012, he claimed the Finnish championship with JYP as well as the 2013–14 edition of the European Trophy. Auvitu left JYP to sign with fellow Liiga side
HIFK before the 2014–15 campaign. After reaching the finals with HIFK, he won the 2015–16
Pekka Rautakallio trophy as the best defenceman in the Finnish
Liiga. He was the first French player to win a Liiga Player Award. Auvitu also competed in the
Champions Hockey League with HIFK. Auvitu signed a one-year entry-level contract with the
New Jersey Devils of the
National Hockey League on May 27, 2016. He made his NHL debut in the
2016–17 season opener on October 13, 2016 against the
Florida Panthers where he got his first NHL point with an assist. On November 11, 2016, Auvitu scored his first NHL goal. He appeared in 25 games with the Devils before splitting the year in the AHL with affiliate, the
Albany Devils. Leaving as a free agent from the Devils in the off-season, Auvitu agreed to a one-year, one-way deal with the
Edmonton Oilers on July 10, 2017. Auvitu remained with the Oilers throughout the
2017–18 season, used in a depth role Auvitu registered 3 goals and 9 points in 33 games. He played as a forward for the first time in his career in a game against the
Chicago Blackhawks, on January 7, 2018. On July 2, 2018, Auvitu left the NHL as a free agent in signing a two-year contract with Russian club,
HC Sochi of the
Kontinental Hockey League (KHL). In the
2018–19 season, Auvitu began in a top four defensive role on the blueline for Sochi. He registered 2 goals and 6 points in 25 games with Sochi before opting to mutually terminate his contract with the club on January 15, 2019. On January 13, 2020, he signed with
Luleå HF of the
Swedish Hockey League (SHL). On January 13, 2021, Auvitu was signed by his former team, HIFK of the Finnish Liiga. For the
2022–23 season, Auvitu was signed to a one-year contract by
Neftekhimik Nizhnekamsk of the KHL on August 4, 2022. He featured in 20 regular season games with Nizhnekamsk, registering 3 points before opting to leave the club 27 November 2022. As a free agent leading into 2023, Auvitu later secured an initial one-month contract to join the Swiss club, Genève-Servette HC of the NL, on 2 January 2023. ==International play==