[1][2] Jeannot played major junior hockey for the Moose Jaw Warriors in the Western Hockey League (WHL) and was signed by the Nashville Predators as an undrafted free agent to a three-year, entry-level contract on April 2, 2018.

[3] In the 2020–21 season, Jeannot made his NHL debut appearing in a fourth-line role for the Predators in a 4–2 defeat against the Carolina Hurricanes on March 2, 2021.

[4][5] Despite pacing all rookies in goals (24) and hits (318) in the 2021–22 season, Jeannot was not a finalist (top 3 in voting) for the Calder Memorial Trophy.

With the Predators losing ground for playoff contention, Jeannot was traded by Nashville to the Tampa Bay Lightning in exchange for defenceman Cal Foote, along with a package of five draft picks, including a 2025 first-round pick (lottery protected) on February 26, 2023.

[8] This biographical article relating to a Canadian ice hockey winger born in the 1990s is a stub.