Banzuzi progressed through VVGZ and NAC Breda's youth teams, joining the latter at age eleven. He made his professional debut for the club on 26 October 2021, in a cup match against VVV-Venlo, which NAC won on penalties. Banzuzi entered the match as a substitute in the 75th minute, replacing Pjotr Kestens.[2] At the age of sixteen, he appeared in ten matches for NAC without signing a professional contract, attracting interest from other clubs. On 8 January 2022, prior to a match against Eindhoven, Banzuzi hinted at a possible departure through a Snapchat post, which led to his demotion back to the youth team.[3] However, in February 2022, he was reinstated to the first team.[4][5]
Following this, Banzuzi saw increased playing time in league matches during the 2021–22 season, making a total of 20 appearances, nine of which were as a starter.[6] NAC Breda qualified for the promotion play-offs, where they were eliminated in the first round by ADO Den Haag.[7] In the subsequent season, Banzuzi again helped NAC reach the play-offs, where they initially advanced past MVV in the first round but were eliminated by Emmen.[8][9] During the regular season, he made 31 appearances, contributing five goals and four assists to the team's qualification for the play-off rounds.[6]