It is the only change from the side that won praise in their 34-20 loss to Ireland last time out, and the first time regular five eighth Allan starts at fullback for the Italians.
He will form a back three along with wings Edoardo Padovani and Pierre Bruno, while the impressive midfield duo Juan Ignacio Brex and Tommaso Menoncello maintain their partnership.
Fit-again Paolo Garbisi keeps his place at five eighth and will partner number nine Stephen Varney.
"We've recovered well since the last game and this week we've been working on the areas where we needed to improve," Crowley said in a media release from Italian Rugby.
"We know the challenge ahead against Wales and look forward to playing and hope to being able to continue to develop the way we want to play."
Italy beat Wales in their previous meeting in Cardiff at the end of the 2022 Six Nations with a last minute try from Padovani.
Capuozzo was in electric form that day and his presence in the backline on Saturday will be sorely missed.
Italy team:
15 Tommaso Allan, 14 Edoardo Padovani, 13 Juan Ignacio Brex, 12 Tommaso Menoncello, 11 Pierre Bruno, 10 Paolo Garbisi, 9 Stephen Varney, 8 Lorenzo Cannone,
7 Michele Lamaro, 6 Sebastian Negri, 5 Federico Ruzza, 4 Niccolo Cannone, 3 Simone Ferrari, 2 Giacomo Nicotera, 1 Danilo Fischetti. Res: 16 Luca Bigi, 17 Federico Zani, 18 Marco Riccioni, 19 Edoardo Iachizzi, 20 Giovanni Pettinelli, 21 Manuel Zuliani, 22 Alessandro Fusco, 23 Luca Morisi.
