The Rangers announced before the game that goalie Igor Shesterkin was placed on injured reserve and would miss at least three games with a lower-body injury he sustained in a 1-0 win against the San Jose Sharks at the Garden on Friday.
Georgiev has made 34 saves on 36 shots since relieving Shesterkin with 14:52 to play in the third period against San Jose. He hadn't played since allowing four goals on 18 shots in two periods against the Buffalo Sabres on Nov. 21.
His goals-against average for the season is down to 3.58 coming out of the win Saturday after being at 4.08 entering Friday. His save percentage is up to .876 from .858.
Georgiev said he needed a strong start and a win for his confidence after struggling with it the past two weeks.
"I don't really want to talk about the last two weeks," Georgiev said. "Not much playing time and things haven't gone the best, but at the same time I'm happy that I got a chance to play, happy that I got a chance to win games. That's most important for us."
The Rangers also improved to 8-1-3 in games decided by one goal, including 6-1-0 in seven such games since Nov. 8.
"Everyone is in it for the common goal, everyone wants to win hockey games," Strome said. "It's a lot of fun coming to the rink being in this position."
Panarin said the Rangers success overall is coming from their camaraderie off the ice and the details in their game on it.
"I think we work together pretty good and there's good energy in the locker room, off ice too," Panarin said. "Good friends. We respect each other. Then coach gives us confidence too. I think every single piece [of our game] we are trying to be better and that's why we're not bad this year."
Chicago scored first Saturday with Kane's goal at 19:37 of the first period giving it a 1-0 lead. Brandon Hagel batted the puck out of the air off Georgiev and into the slot to Kane, who put it in.
The Rangers challenged for missed stoppage, saying Hagel illegally batted the puck to Kane with a high stick. The Situation Room in Toronto supported the referee's call on the ice that Hagel's stick wasn't above his shoulders and the Rangers were assessed a minor penalty for delay of game.
But the Blackhawks couldn't convert on the power play and the Rangers did on theirs early in the third period, with Strome's goal from the right circle off a pass from Panarin out of the left circle tying it 1-1 at 4:41.
"We let up one seam and it's in our net," Jones said. "Panarin is pretty skilled."