[1] In December 2011, Baptiste was chosen to skate for Canada Ontario in the 2012 World U-17 Hockey Challenge[6] and helped them win a bronze medal.

[14] He skated in 12 games for the team before being traded to the Erie Otters on November 24, 2014, in exchange for Travis Wood, Cole Mayo, and four draft picks.

As a result, Sabres coach Dan Bylsma said that Baptiste is "a good possibility" to make his NHL debut at some point during the team's current three-game road trip in Western Canada.

[17] Baptiste was also invited to the Sabres training camp prior to the 2016–17 season but was unable to finish due to a back injury suffered during a preseason game against the Toronto Maple Leafs.

Baptiste remained with the Admirals, scoring 10 goals and 20 points in 54 games before he was traded for the second time within the season, dealt by the Predators to the Toronto Maple Leafs in exchange for future considerations on February 24, 2019.

[25] He was assigned directly to the Maple Leafs AHL affiliate, the Toronto Marlies, playing out the remainder of the season to collect 2 goals and 7 points in 18 games.

[26] In the 2019–20 season, Baptiste recorded just 3 goals in 29 games with the Marlies before he was traded to the Belleville Senators in exchange for Miles Gendron on February 24, 2020.

As a free agent, Baptiste opted to sign his first contract abroad, agreeing to a one-year deal with Finnish club, Ilves Tampere, of the Liiga, on July 21, 2021.

On July 4, 2022, Baptiste left Finland after agreeing to a one-year contract with German club, Kölner Haie of the Deutsche Eishockey Liga (DEL), for the 2022–23 season.

As a free agent Baptiste opted to leave the DEL and return to the Finnish Liiga, agreeing to a one-year contract with Tappara on June 22, 2023.

[32] After a successful season with Tappara, Baptiste left at the conclusion of his contract and continued his career abroad in agreeing to a one-year deal with Russian club, Vityaz Moscow Region of the KHL, on May 29, 2024.