Menegazzo spent two years with Siena and Catania before joining Bordeaux in 2005 and Preziosi is now keen on bringing the 28-year-old back to Italy in January.
He told Radio Kiss Kiss: “Menegazzo has given the all-clear to the move. We will have to talk to Bordeaux and hope they don’t demand too much money.”
Preziosi also commented on reports suggesting they could sell Francesco Modesto in the January transfer window.
He added: “Will Modesto go to Napoli? The rapport with (Napoli chairman) Aurelio De Laurentiis is excellent and goes beyond football. It is a shame that in three years of Serie A we have never been able to collaborate.
“However, Modesto is a very important player for us and clearly I would not release him lightly. Having said that, there could be a deal between the two clubs.
“If someone were to ask me for Hernan Crespo, then I would definitely say no. Hernan is a great centre-forward and also in that role the only other player we have is Sergio Floccari.
“We mustn’t forget that Genoa are still competing on the international stage (in the Europa League) and so until our future in the competition is decided, we cannot say anything about the transfer market.”