The Canadiens' Andreas Martinsen logged 15:08 of ice time in the game, finishing with a minus-1 differential.
Reto Schappi, Cody Almond and Pius Suter scored for Switzerland, with Almond also adding two assists. Leonardo Genoni made 20 saves for the winning side.
Martinsen and his teammates now have a day off, with Norway's next game coming on Tuesday against Slovenia, also in Paris.