Ranieri is currently in charge of Nantes, but high profile agent Alessandro Moggi believes FIGC should move for the Roman.
"It is not easy to answer but I would see Claudio Ranieri doing well," said Moggi on TMW Radio.
"He is a great coach, he gets the Italians to agree and he would work great. If you could get to (Carlo) Ancelotti or (Roberto) Mancini to come that would be good, but I do not think it's easy."
Ranieri has Nantes on track for European qualification this season.