"The former Edmonton Oil King has been dominant in the ECHL this season, posting five shutouts in his first eight games and maintaining a rock-solid GAA and SP through 20 games. That's great news for a team searching for the goalie of the future. Of course, there is a difference between putting up numbers on a strong ECHL team and establishing yourself in the NHL. Brossoit has struggled in two brief AHL stints, so he's a long way away." Rob Tychkowski, The Hockey News Future Watch 2014, p. 30)

• Selected by Calgary Flames in sixth round (164th overall) of National Hockey League entry draft, June 25, 2011.
• Signed to three-year, entry-level contract with Flames, April 4, 2013.
• Traded by Flames (with F Roman Horak) to Edmonton Oilers in exchange for D Ladislav Smid and G Olivier Roy, November 8, 2013.
• Signed as unrestricted free agent to one-year, $650,000 contract with Winnipeg Jets, July 1, 2018.
• Resigned as unrestricted free agent to one-year, $1.5 million contract with Jets, October 2, 2020.
• Signed as unrestricted free agent to two-year, $4.65 million contract with Vegas Golden Knights, July 28, 2021.
• Signed as unrestricted free agent to one-year, $1.75 million contract with Winnipeg Jets, July 1, 2023.

• Played for Pacific Division in 2016 American Hockey League All-Star Game, February 1, 2016.
• Member of Stanley Cup champion Vegas Golden Knights, June 13, 2023.

• Laurent made his National Hockey League debut on April 9, 2015, at Rexall Place in Edmonton. Starting for the Oilers in their next-to-last game of the regular season, Laurent managed to hold off the San Jose Sharks for nearly the entire game, finishing with an incredible 49 saves in a 3-1 loss (San Jose's third goal was an empty-net score). "Brossoit played amazing," Oilers forward Taylor Hall said. "It was one of those things where you're happy to see a goalie play that well and make all those saves, but at the same time, you don't want to give up those Grade A chances. He made so many miraculous saves tonight that it was just a weird feeling to watch. He played so well, he had so many shots." "I kept thinking he was going to get a shutout, then I thought I have to stop thinking it because I'm going to jinx the poor kid. You feel so bad for him," Oilers forward Teddy Purcell said. "We were all talking about how impressive it was. For a guy playing his first game, he was very calm in net. He made the first save, and we weren't doing a very good job clearing rebounds. They were getting second and third chances, and he was shutting the door."

• Left game with cramping, November 23, 2019. Connor Hellebuyck replaced Brossoit with 11:19 remaining in Winnipeg's 4-3 win over Columbus.

• Left game for equipment issue, December 10, 2019. Connor Hellebuyck replaced Brossoit at 6:30 of the second period in the Jets' game against Detroit. Detroit would score their only goal of the game on Hellebuyck 69 seconds later, at which point Brossoit returned to finish the 5-1 victory.