Ramo turned aside 23 shots in the whitewash, his first in 59 career starts with Tampa Bay and Calgary.
The 27-year-old Finn logged 18 shutouts in 173 games for Avangard Omsk of Russia's Kontinental Hockey League from 2009-13.
Mikael Backlund and Sean Monahan each scored for the Flames.
Anton Khudobin turned aside 27-of-29 shots for the Hurricanes, who were blanked for a second straight game.
Swim Week Miami Beach 2014 [PHOTOS]