Galliani told the Gazzetta dello Sport: "If Balotelli's price comes down then I'll get over to Manchester immediately."
It remains to be seen whether the Serie A giants will make their interest in Balotelli formal before the February 1 deadline,
City boss Roberto Mancini has consistently maintained that he has no intention of selling Balotelli.
Balotelli has been at the centre of a number of controversies during his time at Eastlands but after a training-ground bust-up with Mancini this month, the manager said he was prepared to give him "another 100 chances".
When asked about the transfer speculation concerning Balotelli, Mancini said: "No, it is not true. I am very, very happy (with Mario)."