Brescia's 19-year-old midfielder Sandro Tonali comes in for Verratti, but Spinazzola and Berardi have not been replaced.
Tonali made his senior international debut on October 15, coming on as a substitute in the 5 - 0 away win against Liechtenstein in Vaduz.
He played a key role in Brescia's promotion to Serie A this season and scored his first Serie A goal on October 26.
Italy, who have already qualified for next year's European Championship, face Bosnia and Herzegovina on November 15 before hosting Armenia three days later.
Italy squad
Goalkeepers: Gianluigi Donnarumma (AC Milan), Pierluigi Gollini (Atalanta), Alex Meret (Napoli), Salvatore Sirigu (Torino)
Defenders: Francesco Acerbi (Lazio), Cristiano Biraghi (Inter Milan), Leonardo Bonucci (Juventus), Andrea Cistana (Brescia), Giovanni Di Lorenzo (Napoli), Emerson Palmieri (Chelsea/ENG), Alessandro Florenzi (Roma), Armando Izzo (Torino), Gianluca Mancini (Roma), Alessio Romagnoli (AC Milan)
Midfielders: Nicolo Barella (Inter Milan), Gaetano Castrovilli (Fiorentina), Jorginho (Chelsea/ENG), Rolando Mandragora (Udinese), Sandro Tonali (Brescia), Nicolo Zaniolo (Roma)
Forwards: Andrea Belotti (Torino), Federico Bernardeschi (Juventus), Federico Chiesa (Fiorentina), Stephan El Shaarawy (Shanghai Shenhua/CHN), Ciro Immobile (Lazio), Lorenzo Insigne (Napoli), Riccardo Orsolini (Bologna)