[1] On 13 October 2019, at age 17, Procida made his professional debut for Pallacanestro Cantù in a Lega Basket Serie A (LBA) game against Reyer Venezia.

At 18 years, seven months and 23 days of age, he became the third-youngest player in league history to score at least 24 points in a game, behind Luigi Datome and Carlos Delfino.

[8] On 16 February 2023, Procida was announced as one of the candidates for the EuroLeague Rising Star award,[9] which was ultimately won by Yam Madar.

[12][13] On 8 February 2024, the draft rights to Procida were traded to the Utah Jazz alongside Kevin Knox and a future second round pick for Simone Fontecchio.

[16] On 19 February 2021, Procida made his Italian senior national team debut, playing five minutes against Estonia during EuroBasket 2022 qualification.