During his time with the Steel, Abruzzese thrived under new coach Greg Moore and led the league in scoring with 80 points in 69 games.

Following the draft, Abruzzese joined the Harvard Crimson men's ice hockey team from 2020 to 2022 while majoring in psychology.

[5] He also played with the Mid-Fairfield Yankees in 2014 and scored one goal and three assists to help the team qualify for the Toyota-USA Hockey Tier I Youth National Championships.

In his rookie season with the Steel, Abruzzese posted 13 goals and 36 points through 56 games but remained undrafted in the National Hockey League (NHL).

[11] Following the NHL Entry Draft, Abruzzese began his collegiate career with the Harvard Crimson in the ECAC Hockey Conference while majoring in psychology.

[14] Later in January, Abruzzese notched his first multiple-goal game and was named a nominee for the Hobey Baker Award as the top NCAA men's ice hockey player.

[20] Once collegiate hockey resumed for the 2021–22 season, Abruzzese returned to Harvard as their team co-captain alongside Casey Dornbach.

[23] Upon reaching the NCAA Albany Regional semifinals against Minnesota State, the Crimson fell 4–3 and were subsequently eliminated.

[25] Abruzzese ended his collegiate career by signing a two-year, entry-level contract with the Toronto Maple Leafs on March 26, 2022.

[28] On July 21, 2023, Abruzzese signed a two-year, $1,550,000 contract extension with the Toronto Maple Leafs as a restricted free agent.