Junior Bozon grew up in
Germany and
Switzerland while his father,
Philippe, played professionally in those countries, and began to play hockey himself in
Mannheim while Philippe was a member of
Adler Mannheim of the
Deutsche Eishockey Liga (DEL). When Philippe moved to Switzerland, Bozon followed, and was a player for the junior clubs of
Genève-Servette HC, the
Kloten Flyers and
HC Lugano. At age 15, Bozon decided he wanted to follow the path of
Nino Niederreiter, a fellow Swiss junior player who had just moved to
North America at age 17 and joined a team in the
Canadian Hockey League (CHL) to further his career. Bozon wanted to eventually play in the
National Hockey League (NHL) and realized there were more scouts following teams in the CHL, which oversees three
major junior hockey leagues in Canada and the
United States. He had preferred to play for a team in the
Ontario Hockey League (OHL), but was instead selected by the
Kamloops Blazers of the
Western Hockey League (WHL), twenty-seventh overall at the 2011
CHL Import Draft. He joined the Blazers for the
2011–12 season, recording 36 goals and 35 assists for 71 points in the same number of games. His goal total was the most among all WHL rookies, whereas his points second among rookies and third overall on the Blazers. Bozon was recognised for his efforts by being named the WHL's Western Conference nominee for the
Jim Piggott Memorial Trophy as WHL Rookie of the Year. He also was a co-recipient of the Blazers' own Rookie of the Year, along with
goaltender Cole Cheveldave. Midway through the season, Bozon was ranked 39th overall amongst North American-based skaters for the
2012 NHL entry draft by the
NHL Central Scouting Bureau. When the final rankings for the draft were released at the conclusion of the season, Bozon was listed 42nd overall for North American skaters. Bozon recorded 36 goals and 91 points in 69 games during the
2012–13 season, finishing second on the Blazers in scoring and tied for eighth overall in the WHL. In the playoffs Bozon scored six points in eight games; a
fractured wrist kept him out of most of the Blazers' playoff games. On May 30, 2013, Bozon signed a three-year entry-level contract with the Canadiens. He was returned by the Canadiens to the Blazers for a third year with the team prior to the start of the
2013–14 season. After starting the season with the Blazers, where he was fifth in team scoring with seven points in thirteen games, Bozon was traded to the
Kootenay Ice on October 22, 2013. The Blazers, who also sent defenceman Landon Cross, received Colin Shirley,
Matt Thomas, and three draft picks in return. Bozon's season was ended prematurely due to a diagnosis of
Neisseria meningitidis on March 1, 2014; at that point he had recorded 62 points in 50 games for Kooteney. His illness caused him to lose ; he had difficulty speaking and had to re-learn how to walk. As he recovered, he resumed skating in June 2014 and by September, he attended the Canadiens' rookie camp. Bozon participated in the Canadiens main training camp, and later played three exhibition games with their
American Hockey League (AHL) affiliate
Hamilton Bulldogs; however it was decided that in consideration of the time missed due to his illness, it would be best for Bozon's development for him to play a final major junior season, and he was assigned to Kootenay for the
2014–15 season, where he appeared in 57 games and finished fourth on the team in scoring with 63 points.
Professional After the conclusion of the WHL season, Bozon was assigned to the Bulldogs and made his professional debut, appearing in one game for the team. For the
2015–16 season, he was assigned to the
St. John's IceCaps, as the Canadiens relocated the Bulldogs to
St. John's, Newfoundland. He split the season with both St. John's, where he played 41 games and had 8 points, and the Canadiens'
ECHL affiliate, the
Brampton Beast, where he had 9 points in 15 games. On October 6, 2016, prior to the
2016–17 season, Bozon was traded to the
Florida Panthers in exchange for
Jonathan Racine. At the end of the season, and with his NHL contract over, Bozon signed a contract with Kloten to return to Switzerland. Because he played junior in the Swiss system, Bozon would not count against the team's import limit, despite being French. At the end of his first season with Kloten, the team got relegated to the
Swiss League and Bozon was immediately released. Bozon tallied 12 points in 44 games and posted a poor -13 rating. On July 17, 2018, Bozon followed in his dad's footsteps by joining
Genève-Servette HC on a one-year deal. On February 7, 2019, Bozon was signed to a two-year contract extension by Geneva through the
2020–21 season. On November 30, 2019, Bozon cross-checked
Mark Arcobello from behind who fell head first into the boards. The action resulted in a game misconduct for Bozon, along with both a four-game suspension and
CHF 6,400 fine. On September 14, 2020, Bozon and teammate
Petr Čajka were traded to
Lausanne HC in exchange for
Joel Vermin. ==International play==