Hirose had the secondary assist on both goals, his first NHL points in his third game since signing as a free agent on March 29 following his junior season at Minnesota State University.
"I'd probably say I'm more excited for getting the two points in the 'W' over getting my own two points," Hirose said. "Just happy we got to win."
Miller scored into an empty net with 25 seconds for the 3-0 final.
It was the ninth time Chicago was shut out this season.
"We just didn't have any finish around the net and the goalie was good as well," Blackhawks coach Luke Richardson said. "After our power play in the second period, we had a real good buzz for about two or three shifts, but unfortunately, we just couldn't get it across the line. We had a really good look on the backdoor a few times, and he's a big goalie and he got over there and played it well."
It was also the Canucks' first shutout since Demko's previous one, a stretch of 133 games without one, setting a team record.
"I really wanted [Demko] and our goalies to get a shout out," Tocchet said. "I think they deserved the shout out."
NOTES: Raddysh left with a lower-body injury with 8:55 remaining in the third period. "For us, that's a big loss on the power play, and then 6-on-5," Richardson said. "We'll have to see how he is tomorrow." … Canucks defenseman Cole McWard played 14:35 in his NHL debut after signing a two-year, entry-level contract Tuesday. The 21-year-old recently completed his sophomore season at Ohio State University with 21 points (nine goals, 12 assists in 39 games). … Vancouver sent defenseman Jack Rathbone to Abbotsford of the American Hockey League before the game.