[1] Honzek played parts of two seasons of professional hockey for HK Dukla Trenčín of the Slovak Extraliga before coming to North America to play for the Vancouver Giants in the WHL in order to decrease his time needed to be NHL ready.
[5] Upon his return, Honzek was named the captain of the Giants, and recorded 7 points in his first five games before leaving the team to participate in the 2024 World Junior Ice Hockey Championships.
[5] Then on October 9, 2024, Honzek made his NHL debut against the Vancouver Canucks.
Honzek has represented Slovakia thrice at the IIHF World Junior Championship.
During the 2023 IIHF World Junior Championship, Honzek was forced to leave the tournament early after being cut by a skate; an injury that sidelined him for 6 months.