Bozon had 36 goals and 91 points and was plus-37 in 69 games for the Kamloops Blazers of the Western Hockey League this season.
The 19-year-old was drafted 64th overall by Montreal in 2012.
Bozon was born in St. Louis, where his father Philippe Bozon played for the Blues. The six-foot-one 185-pound forward played for France at the recently completed IIHF world championship, where he had one assist in five games.
In two seasons with Kamloops, he had 162 points in 140 games and was plus-64.