Fulcher was drafted 241st overall by the Sarnia Sting in the 2014 OHL Priority Selection. During the 2015–16 season, Fulcher began the season with the Sarnia Sting, where he posted a 2–0–1 record in three games, with a 3.30 goals-against average and.890 save percentage. On January 7, 2016, he was traded to the Hamilton Bulldogs in exchange for goaltender Charlie Graham. He finished the season with a 4–10 record, with a 4.48 GAA and.876 save percentage in 14 games for the Bulldogs. During the 2017–18 season, Fulcher posted a 32–17–6 regular-season record for the Hamilton Bulldogs, with a 2.86 GAA and.899 save percentage. On March 1, 2018, Fulcher won his 30th game of the season, setting a single-season franchise record for the most wins. During the playoffs he posted a 16–5 record, with a 2.70 GAA and.905 save percentage to help the Bulldogs win the J. Ross Robertson Cup, their first championship in franchise history. With the win, the Bulldogs advanced to the 2018 Memorial Cup, where Fulcher posted a 2–2 record with a 2.27 GAA and a.918 save percentage. Following the tournament, he was awarded the Hap Emms Memorial Trophy as the tournament's most outstanding goaltender.
Professional
On October 3, 2017, the Detroit Red Wings signed Fulcher to a three-year, entry-level contract. Following a championship winning season in junior hockey, Fulcher was assigned to the Toledo Walleye of the ECHL on September 27, 2018. During the 2018–19 season, Fulcher posted a 15–7–6 record with a 3.00 GAA and a.899 save percentage in 28 games for the Walleye in his first professional season. On March 3, 2019, Fulcher posted his first career shutout, in a 5–0 victory over the Indy Fuel. On March 31, 2019, Fulcher was recalled by the Red Wings under emergency conditions. On April 6, he made his NHL debut for the Red Wings in a game against the Buffalo Sabres, replacing an injured Jimmy Howard in the second period, making nine saves on 11 shots in 28 minutes. Following the completion of the Red Wings' season, Fulcher was re-assigned to the Walleye the next day and added to their playoff roster.
