Mezue ahịrịokwu na-esonụ: N'ịbụ onye si Quebec, Gauthier zụlitere na obere mmemme hockey ice ya ma bu n'obi ịchụso ọrụ kọleji kama QMJHL. Mgbe Océanic họpụtara ya na QMJHL na Youngstown Phantoms na United States Hockey League, Sidney Crosby gbara ya ume ka ọ gaa n'ihu na-arụ ọrụ n'obodo ya. N'oge ya na ndị otu ahụ, Gauthier gbara asọmpi maka Team Canada na asọmpi mba ụwa dị iche iche. O ritere ọla edo na 2013 IIHF World U18 Championships na
2015 World Junior Ice Hockey Championship.