Mancini and the rest of his staff underwent routine testing before the Italy squad met on Sunday ahead of the international break.
The 55-year-old former Manchester City boss was asymptomatic according to the Italian Football Federation, and he is self-isolating at his home in Rome.
The federation said Mancini will join the squad as soon as he’s allowed by Uefa and FIGC protocols.
Italy face Estonia in a friendly on Wednesday before hosting Poland in the Uefa Nations League four days later.
The Azzurri are second in Group 1 in League A, a point below Poland and a point above Netherlands.
Additional reporting by AP.