The 65-year-old has been out of work since controversially being sacked by Leicester City in February, nine months after guiding the Foxes to a memorable Premier League title triumph.
Ranieri has been linked with numerous jobs in the English top flight, including the vacant Crystal Palace position, but Nantes - seventh-place finishers in Ligue 1 this season - could also make a move.
"Ranieri may be on the shortlist," Kita told CNews. "I inquired about [Claude] Puel - he goes to another club. Laurent Blanc, no. A Portuguese coach? There is one in the shortlist. There are Frenchmen, I will not reveal their names."