The Japan fullback had an interrupted campaign due to injury and Asian Cup commitments last season.
Federico Pastorello told FCInterNews.it: "Nagatomo to leave Inter? The club has not announced anything yet. Of course, (Roberto) Mancini made his own choices, but this season Yuto had his own space, then it was D'Ambrosio.
"Unfortunately the player has been slowed by some injuries too, but the club has not sent any sign of a farewell.
"Yes, there were some enquiries. Schalke 04 have shown some interest."