[4] While playing with the Florida Panthers Alliance program, he helped their Major AAA team win the 2010 Early Bird Tournament Bantam A championship.
[8] Peeke played for the Notre Dame Fighting Irish men's ice hockey team for three seasons while majoring in management consulting.
[9] Upon joining the Fighting Irish for the 2016–17 season, Peeke recorded 14 points in 40 games as the program transitioned from the Hockey East to Big Ten Conference.
[12] Following his junior season with Notre Dame, Peeke was signed to a three-year, entry-level contract with the Columbus Blue Jackets on April 1, 2019.
[17] Peeke scored his first point as a Bruin in his second game with the team, an assist on a John Beecher goal against the Philadelphia Flyers on March 16, 2024.