Good day penstraze1950
Given the birth town of Pedivigliano, you will need to contact the Archivio di Stato di Cosenza.
THIS PAGE explains how to request documents by e-mail. I have added a template below you can use to contact the archive. I would send the request in both Italian and English. Use the name on the birth certificate, especially if it is the same name as on the marriage certificate. As you have a copy of his birth certificate, I would include a clear scan of it as well to help the archivist find the correct files. There is a cost. The archive will contact you once they have find the records and tell you what it will be.
Check his birth certificate to see if Cosenza is list stated as the province of birth. If not, be prepare if the archive directs you to contact a different archive. As I previously stated, some of the provinces were adjusted/created after the war.
Please post if you were successful.
Pista! Jeff
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Archivio di Stato di Cosenza
Egregi signori,
il sottoscritto YOUR NAME, residente in YOUR ADDRESS, richiede il rilascio di copia del foglio matricolare (e qualsiasi altro dei suoi documenti militari) di mio padre FATHER'S NAME, nato a FATHER'S BIRTHPLACE provincia di Cosenza in data FATHER'S BIRTHDATE, che ha prestato servizio nell'Esercito Italiano durante la Seconda Guerra Mondiale.
Cordiali Saluti
(YOUR NAME, ADDRESS AND SIGNATURE)
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English translation :
Dear sirs,
the requestor (YOUR NAME), living in (YOUR ADDRESS), requests a copy of the "foglio matricolare" (and any other of his military records) of my father (FATHER'NAME), born in (FATHER'S BIRTPLACE) district of (PROVINCE) in date (FATHER'S BIRTHDATE), that served in the Italian Army during WW2.