Cutrone and 2 defenders leave Italy squad with injuries
Striker Ciro Immobile remained with the squad despite a broken finger.
With Mario Balotelli left out because of poor form, the other forwards left in the team include: Domenico Berardi (Sassuolo), Gianluca Caprari (Sampdoria), Federico Chiesa (Fiorentina), Sebastian Giovinco (Toronto FC), Lorenzo Insigne (Napoli) and Simone Zaza (Torino).
Italy hosts Ukraine in Genoa on Wednesday then visits Poland on Sunday.
The Azzurri drew with Poland and lost to Portugal in their opening Nations League matches last month.