Head coach Brent Sutter placed Sven Baertschi in the starting lineup and the rookie gave his team the lead during the opening shift.
Picking off a Keith Yandle pass in front of netminder Mike Smith, Baertschi tossed the puck into the back of the just 17 seconds into the game.
It was Baertschi's third goal in as many games.
Overall, the youngster put in 14:28, had three shots on net, threw two hits and two takeaways.
IGGY IGGY IGGY!
The captain's torrid scoring streak continued when he sent a howitzer past Smith at 5:16 of the second period.
Taking a stretch pass from Mark Giordano, the winger wired a shot from the top of the faceoff circle that amounted to his 31st goal of the season.
The 34 year-old has scored in six straight games (seven goals in that span) and has points in nine straight (14 points).
After gaining a 2-0 lead, the Flames energy slipped a bit and the Coyotes were able to get back into the game when Oliver Ekman-Larsson scored his 11th of the year at 17:37 of the second period.
The tally seemed to wake the team back up and they responded by gaining another two-goal lead to take into the third frame.
Matt Stajan parked himself in front of the net and was able to knock in a Cory Sarich centering pass into the back of the net.
SCORING WITH FLAIR
Alex Tanguay make it a 4-1 affair in the third period when he potted his eighth point in his last six outings.
With Baertschi serving a too-many-men penalty, the winger took a pass from Curtis Glencross and was able to slip the puck past Smith after some nifty stickhandling in the goal mouth.
It was Tanguay's 12th goal of the year.
WHAT THE WEST LOOKS LIKE
The Colorado Avalanche lost in a shootout on Thursday, giving them 81 points on the year. They currently reside in 8th place. San Jose has 80 points and has played one less game than the Flames so they are currently 9th in the West. Calgary has 80 points with the win over the Coyotes and sit in 10th but have two games in hand over the Avs.