Early years During the 2021–22
U16 AAA season, Hage recorded 46 goals and 70 assists in 57 games played for the Toronto Jr. Canadiens of the
Greater Toronto Hockey League (GTHL). At that year's
OHL Cup, Hage led his team in scoring with 16 points in seven games en route to a silver medal finish and was likewise selected to the tournament All-Star Team.
Junior On April 20, 2022, Hage was drafted ninth overall by the
Kitchener Rangers of the
Ontario Hockey League (OHL) in the
2022 OHL Priority Selection draft. After not signing with the Rangers, he was declared a defected player, and his rights were traded to the
Sudbury Wolves in exchange for a supplemental first-round pick in the
2023 OHL Priority Selection draft as compensation, Sudbury's fourth-round pick in the 2025 OHL Priority Selection draft, as well as three conditional draft picks. On April 26, 2022, Hage signed with the
Chicago Steel of the
United States Hockey League (USHL) for the
2022–23 season. In September 2022, he suffered a
torn labrum during his first practice with the team. Upon his return in March 2023, he recorded five goals and five assists in the Steel's final 13 games of the regular season. During the
2023–24 season, Hage recorded 33 goals and 42 assists in 54 regular season games. His goal production ranked sixth whereas his total assists were tied for 10th across the USHL. He was named the USHL Forward of the Week for the period ending March 4, 2024, after he recorded two goals and five assists in three games. He was again recognized as the USHL Forward of the Week on March 18, after he recorded four goals and four assists in three games, his second such honour in a three-week span. Following the season, Hage was named to the
All-USHL First Team. In advance of the
2024 NHL entry draft, Hage received the
E. J. McGuire Award of Excellence, bestowed by the
NHL Central Scouting Bureau to "the candidate who best exemplifies commitment to excellence through strength of character, competitiveness, and athleticism." He was ultimately selected in the first round, 21st overall, by the
Montreal Canadiens.
Collegiate Hage committed to play
collegiately for
Michigan of the
National Collegiate Athletic Association (NCAA) beginning in the
2024–25 season. On October 4, 2024, he recorded two assists in his NCAA debut against
Minnesota State in a 5–2 loss, followed by an additional two-point effort, including his first collegiate goal, in a 4–1 victory a day later. On November 22, in a game against
Penn State, he recorded two goals, including the game-winner, in his first career multi-goal game. The next day, he recorded one goal and four assists in a 10–6 victory. He finished the weekend series with a national-best seven points, and was subsequently named the
Big Ten First Star of the Week. After registering five goals and five assist in seven games to lead all rookies in the nation with 1.43
points per game (PPG), Hage was recognized as the Hockey Commissioners Association (HCA) National Rookie of the Month. In January 2025, he, along with fellow Montreal Canadiens prospect
Jacob Fowler, were
longlisted as recipients of the
Hobey Baker Award recognizing the top
NCAA Division I men's ice hockey player. Hage finished his freshman year with 13 goals and 21 assists in 33 games. He ranked fourth among all rookies in the NCAA in points per game (1.03). Following the season he was named to the All-
Big Ten Freshman Team, and was named
Big Ten Freshman of the Year. With the Wolverines failing to qualify for the annual
NCAA tournament, Hage announced on March 25, 2025, that he would return to Michigan for the
2025–26 season. On October 3, during the first game of the season, he had a career-best five points with two goals and three assists. He led the nation in scoring during the weekend series with two goals and five assists, helping Michigan sweep
Mercyhurst. He was subsequently named the Big Ten Second Star of the Week. ==International play==