Garland cut it to 4-3 at 18:53 of the third period, redirecting a shot from Hughes with Delia pulled for the extra skater.
Kuzmenko then tied it 4-4 with 16 seconds remaining when he redirected a slap pass from Miller over the glove of Saros from the slot.
"We've seen that all year from us," Hughes said. "We don't quit. It's exciting to bring ourselves back in the game. Two goals with a minute and a half left just shows character, but also how guys want to win and are competitive. We're not just going to lay down."
Cole Smith gave the Predators a 1-0 lead at 4:38 of the first period, scoring on a rebound near the right post after Delia stopped Colton Sissons' attempt from in front with his right pad.
Canucks coach Rick Tocchet challenged the play for offside, but the call was confirmed after a video review.
Tomasino made it 2-0 at 7:57 of the second period with a power-play goal. He lifted a shot over Delia's glove from the edge of the crease off a give-and-go with Parssinen.
"Obviously, it was nice to get that first one out of the way, and I think it was a big goal for our group and for our unit, especially," said Tomasino, who was playing his fifth game this season. "I think we've had some good looks the last few games and haven't been able to click. Obviously, great play by Parssinen to [feed] me there."