Gauthier is the type of power forward that every NHL team covets. The center-wing swingman is 6-foot-3 and 194 pounds of solid mass. And he isn't afraid to use that physicality, whether it is separating players from the puck in the defensive zone or fending off attackers while in the offensive zone. Even post whistle, he doesn't shy away from contact. He's also a PKer with a willingness to block shots and suffer for his team.
Gauthier, who was born in Sweden but grew up in the United States, loves to shoot the puck from anywhere and everywhere. He's not a sniper in the classical sense, but can get off his shot quickly and with velocity. Gauthier has decent speed and skating ability for his size, enough to keep up in the NHL, though could use some improvement. He also needs to work on his consistency, bringing his best game-to-game and shift-to-shift. His game has a tendency to lag at times.