Gaudreau's surgery was performed by hand specialist Dr. Rod French in Vancouver.
"It's about as good as news as you can get," Treliving said. "He's got some hardware in there. The way it fixed onto the bone, they were real happy with how it went. You wait and you work through it and hopefully he's back sooner rather than later."
Gaudreau left the game at 7:22 of the third period after taking a stick to his hand from Wild forward Eric Staal. Gaudreau scored the goal in the 1-0 win.
Gaudreau led Calgary in scoring with five goals and 11 points. He led the Flames with 30 goals and 48 assists, and finished tied for sixth in the NHL, with 78 points last season.
In 177 NHL games, Gaudreau has 60 goals and 154 points.
"There's no Johnny Gaudreau tree," Treliving said of replacing him. "But what you can do is find people putting a little bit more into it, get a little bit more from your group here individually, a little bit more percentage points, and everyone's got to pull up, and as a group pull together and find ways to dig in. That's the recipe."
Without Gaudreau, the Flames (7-10-1) defeated the Arizona Coyotes 2-1 in overtime on Wednesday.