Chiozza attended White Station High School, where he was coached by Jesus Patino. He also played on the Team Thad AAU team. As a junior, in the wake of his grandmother's death, he posted averages of 27 points, seven assists and seven steals in an important Pittsburgh tournament and began to get major college looks. He averaged 15 points and eight assists per game as a senior. Chiozza was ranked No. 45 in his class by Rivals.com and received scholarship offers from Auburn, UMass, Memphis, Ohio State, Richmond and Tennessee before committing to Florida.
College career
Chiozza hit a 3-pointer at the buzzer to defeat Wisconsin and send Florida to an 84-83 overtime victory in the Elite Eight of the 2017 NCAA Tournament. He was thinking of passing but ended up taking the winning shot. As a junior he averaged 7.2 points, 3.8 assists and 3.3 rebounds per game. Chiozza became a starter as a senior and led the SEC with a 3.22 assist-to-turnover ratio. He had a last-second steal and layup to beat Missouri on January 6, 2018. On March 3, he broke Erving Walker's Florida assists record. On the season he averaged 11.1 points, 6.1 assists and 4.6 rebounds per game. At the conclusion of the regular season he was named to the First Team All-SEC. After the season he was invited to the 2018 Portsmouth Invitational Tournament.
After going undrafted in the 2018 NBA draft, Chiozza joined the Washington Wizards for the 2018 NBA Summer League. Chiozza would eventually join the Wizards for training camp. He was waived by the Wizards on October 14, 2018, He was added to the team's NBA G League affiliate, the Capital City Go-Go.
On February 22, 2019, Chiozza signed a 10-day contract with the Houston Rockets. He did not appear in any games, but he subsequently played for the Rockets’ G League affiliate, the Rio Grande Valley Vipers. On March 22, Chiozza signed a contract for the remainder of the 2018–19 season. He played his first NBA game on March 24, seeing 5 minutes of action in a 113-90 blowout win against the New Orleans Pelicans. On July 30, 2019, he was waived by the Houston Rockets.
Washington Wizards/Capital City Go-Go (2019)
On September 26, 2019, Chiozza re-signed with the Washington Wizards for training camp. He was signed to a two-way contract by the Wizards on October 21. Under the terms of the deal, Chiozza would split time between the Wizards and their G League affiliate, the Capital City Go-Go. On December 17, 2019, the Wizards waived Chiozza. On December 21, 2019, the Capital City Go-Go announced that they had re-acquired Chiozza.
Brooklyn Nets/Long Island Nets (2020–present)
On January 4, 2020, the Brooklyn Nets signed Chiozza to a two-way contract.
