Mancini left Galatasaray in June and is believed to be in contention to replace Cesare Prandelli, who stepped down after Italy's surprise first-round exit from the World Cup.
"I've always been patriotic, I never forget about Italy even when I've been working abroad," Mancini tells Il Giorno.
"Who doesn't dream about coaching their national team? I'd come running. The reality, however, is that for now, no one has called me."