Rittich, who signed a one-year, two-way contract with the Flames on Jun. 13, 2016, turned aside all 35 shots he faced and collected his fourth shutout of the year.
"It was one of those nights where David had to get thrown into a game he wasn't expecting, making his performance that much more special the way he showed up," Huska lauded.
"Knowing the support that you have from your goaltender is great," forward Austin Carroll added. "If you make a little mistake, (David Rittich) is there for you. The players want to play for him and he was playing for us ... He was unreal."
In 13 appearances this year, Rittich boasts a 1.81 GAA, which ranks third in the AHL, and a .936 save percentage, also third in the league. His four shutouts are second only to San Jose's Troy Grosenick.
With Saturday's win, Rittich also takes over the all-time team-lead in shutouts, passing Gillies.
"It's a fantastic feeling. It was good for us as a team because we need to win after going winless in five games there. We must be better and the last two nights we have been," Rittich said afterwards, deflecting praise to his teammates.
"My guys were so good in front of me tonight. They did a great job clearing rebounds and clearing screens. They blocked shots and helped me so much. I need to say thank you to them."
Rittich's performance was supported by goals from Carroll, Emile Poirier (2) and Matt Frattin.
Poirier, who was a healthy scratch on Friday, also chipped in with an assist. He and his linemates, Carroll and Ryan Lomberg, combined for five points in the victory.
"I think our line did a great job," he noted. "We battled hard while keeping our game simple and did good work tonight. Getting in front of the net and battling hard down low was the game plan and the guys did an excellent job."
The Heat now sit third in the American Hockey League's Pacific Division with a .645 winning percentage in 31 games. They trail Ontario (.690) and San Jose (.655) in the division.
Stockton is back in action on Wednesday when they travel to San Diego to face the Gulls. They will wrap up the week with stops in Bakersfield on Friday and San Jose on Saturday.