He is the first of only seven French-born and trained players to appear in the NHL, the other six being Cristobal Huet, Stéphane Da Costa, Antoine Roussel, Pierre-Édouard Bellemare, Yohann Auvitu, and Alexandre Texier.

Bozon began his career playing for the St. Jean Beavers in the Quebec Major Junior Hockey League followed by four years competing in his native France.

He was then recruited by the St. Louis Blues and was used as a defensive-minded forward and occasionally on the scoring line with Brett Hull.

In addition to his professional career, Bozon appeared internationally for France, for which he competed in four Olympic Games.

[2][3] On July 14, 2009, Bozon was named the head coach of the French national junior ice hockey team.