Juzang went undrafted in the 2022 NBA draft. He played for the Utah Jazz in the 2022 NBA Summer League, although his debut was delayed after he suffered a concussion in a car crash days after he arrived in Utah. After the summer league, he signed a two-way contract with the Jazz. During the season, he missed over a month with a serious wrist sprain. He made his NBA debut on February 28, 2023 in a 102–94 loss to the San Antonio Spurs, scoring three points.

Juzang was born in Los Angeles. His father, Maxie, is Creole, and his mother, Hanh, is Vietnamese. After repeating the eighth grade, Juzang played high school basketball for Harvard-Westlake School in Los Angeles. In his freshman season, he averaged 16.2 points, 7.5 rebounds, and two assists per game and was teammates with Cassius Stanley.

Juzang's older brother, Christian, played college basketball as a point guard for Harvard, and played in the Vietnam Basketball Association with the Saigon Heat. He has a younger sister, Lauren.