Stoll's tally on a feed from Muzzin midway through the first period handed the Kings a 2-0 lead and Los Angeles went on take its ninth victory in 11 contests.
Muzzin also helped out on Dustin Brown's power-play goal as the Kings swept their season's series from Calgary for the first time since the 1999-2000 season.
Jonathan Quick turned aside 23-of-24 shots to record the win.
Mikael Backlund scored in the final frame for the Flames, who lost their third straight.
Joey MacDonald made 19 saves for Calgary.
Notable deaths of 2014 [PHOTOS]