Chicago has won three straight games after losing four of its previous five.
"Yeah, it's exciting," Saad said. "After last game, we felt good. It's nice to get a character win like that in an away barn (2-1 win at the Dallas Stars on Saturday) and be able to buckle down defensively. We haven't done that in a while. And tonight, we made some more plays and scored more goals, but I think defensively we played really well."
Richard Panik scored for the Coyotes (34-30-5), who lost for the second time in 10 games and are one point behind the Wild. Calvin Pickard made 15 saves in relief of Darcy Kuemper, who allowed four goals on 16 shots.
"It's part of being a goalie," Pickard said. "You're going to have to be called upon at different times in a game. Obviously, loud building, they were buzzing pretty good up 4-1, got to step right from the dressing room and step right up into the game.
"Give them credit, they were unbelievable, they were making plays, they were the [Harlem] Globetrotters for a while and they earned some good goals. It's just one game for us, the nice part about it is we can bounce back tomorrow (against the St. Louis Blues)."
Panik gave the Coyotes a 1-0 lead at 4:27 of the first period when he got his own rebound, skated around Crawford, and scored on his backhand.
Perlini scored on a breakaway to tie it 1-1 at 6:38.
Saad gave the Blackhawks a 2-1 lead at 8:09 when he deflected a pass from Toews in the crease.
Perlini made it 3-1 at 3:16 of the second period when he scored from the slot.
Kunitz gave Chicago a 4-1 lead at 6:26 when he scored into an open net off a backhand pass from David Kampf. Pickard relieved Kuemper following the goal.
Kane made it 5-1 at 8:50 when he scored from below the right face-off circle off a pass from Artem Anisimov.
Toews scored his 30th goal on a penalty shot to make it 6-1 at 14:08 after he was slashed from behind by Jakob Chychrun on a breakaway.
It is the first time Toews has reached 30 goals in a season since 2010-11, when he scored 32. His NHL career high is 34, set in 2008-09. He has 71 points, marking the first time he's reached 70 since 2010-11, when he had an NHL career-high 76.