Brady Ramsay scored in the first period for the Hurricanes (18-16-5), while Sam Mckechnie scored the game-winning goal in the second.
Brooks Macek scored the lone goal of the game for the Hitmen (23-9-4) during a power play at 15:59 of the third period.
The Hitmen continued to pour on the pressure after Macek’s goal, but couldn’t find a way to get any more pucks past Rimmer, who was chosen as the game's first star.
Calgary's Chris Driedger made 23 saves in a losing cause.
The Hurricanes failed to score on four chances with the man advantage while the Hitmen went 1 for 6 on the power play.