Junior
Dragicevic is a native of Richmond, British Columbia, and he played junior hockey locally with Delta Hockey Academy. In his first season with the school, 2018–19, he recorded eight goals and 21 assists for 29 points in 29 games. During the 2019–20 season, he notched eight goals and 44 assists for 52 points through 30 games. On April 22, 2020, Dragicevic was selected in the 2020 Western Hockey League (WHL) bantam draft by the Tri-City Americans with the fourth-overall pick. He was signed by the team five days later.
After tallying two points in five games with Delta Hockey Academy, Dragicevic joined the Americans to finish out the 2020–21 season. He made his WHL debut on April 7, 2021, in a 5–2 loss to the Spokane Chiefs. Dragicevic finished the season with the Americans with six games played but no points. To start the 2021–22 season, Dragicevic was on the Americans' roster. On October 2, he recorded his first WHL point, an assist on a goal by Parker Bell, as part of a 5–3 victory over the Chiefs. On October 10 against the Chiefs, he scored his first WHL goal, the only Americans goal in a 5–1 loss. Dragicevic finished the season with six goals and 26 assists in 62 games.
During the 2022–23 season, Dragicevic played his 100th WHL game on December 28, 2022, against the Portland Winterhawks. From October 13 to December 30, he recorded a 27-game point streak, setting an Americans record, also tallying 37 points in that stretch. His performance landed him a spot on the NHL Central Scouting Bureau's mid-season rankings. Dragicevic earned his 100th WHL point on March 11, 2023, against the Winterhawks. He finished the season with 15 goals and 60 assists for 75 points in 68 games, making him the only defenceman in the entire Canadian Hockey League to lead his team in scoring. His play earned him a spot on the WHL's U.S. Division First All-Star Team and led him to be ranked 18th among North American skaters by the NHL Central Scouting Bureau. After recording four assists in six games of the 2023 WHL playoffs, Dragicevic was one of 106 players invited to the NHL Scouting Combine. On June 29, at the 2023 NHL entry draft, Dragicevic was drafted in the second round, 57th overall, by the Seattle Kraken.
On September 29, 2023, prior to the 2023–24 season, Dragicevic was named an alternate captain of the Americans. On March 22, 2024, he played his 200th game in the WHL, against the Winterhawks. During the season, he totaled 14 goals and 36 for 50 points. On March 28, Dragicevic signed a three-year, entry-level contract with the Kraken. On April 1, he signed an amateur tryout offer with the Coachella Valley Firebirds, the American Hockey League (AHL) affiliate of the Kraken. Dragicevic played three games with the Firebirds at the end of the AHL regular season, collecting one assist.
On July 24, 2024, Dragicevic and Eric Kahl were traded to the Prince Albert Raiders in exchange for Terrell Goldsmith, Grady Martin, Nathan Preston and a third-round WHL bantam draft pick in 2025. During the 2024–25 season, Dragicevic scored his first goal as a Raider on October 18 in a 6–4 loss to the Victoria Royals. On November 15, he notched three assists in a 5–3 victory over his former team, the Americans. In 66 games during the season, Dragicevic tallied 18 goals and 52 assists for 70 points, ranking fourth among WHL defencemen. On April 8, 2025, during the 2025 WHL playoffs, he recorded a goal and three assists in game seven of the first round against the Edmonton Oil Kings. He finished the playoffs with six goals and eight assists through 11 games.
