At Simeon Career Academy, Norvell played limited minutes as a freshman behind Jaylon Tate and Kendrick Nunn.

[1] As a junior, Norvell averaged nearly 13 points, four rebounds and three assists per game and was a Chicago Tribune All-State special mention selection in 2015.

He scored 53 points in an AAU game for Mac Irvin Fire in Las Vegas in July 2015, increasing his recruiting stock.

[5] Coming into his redshirt freshman season, Norvell was named to the Julius Erving Award watch list.

He was also able to make a game tying three-pointer against UNC Greensboro and recorded his first career double-double against Ohio State with 28 points and 12 rebounds.

[13] He was named to the 2018–19 All-West Coast Conference first team along with teammates Rui Hachimura, Brandon Clarke and Josh Perkins.

[18] On October 25, 2019, Norvell made his debut in NBA, coming off from bench in a 95–86 win over the Utah Jazz with a rebound.

[26] In his debut for Santa Cruz, Norvell scored a career-high 34 points shooting 7-of-12 from behind the arc while also contributing five rebounds and four assists in a 128–122 loss to the South Bay Lakers.