El Shaarawy has dropped down the pecking order at the San Siro and may be on his way to Istanbul in the winter if Roberto Mancini's side come through with a big enough offer.
"Galatasaray are a big club, they play in the Champions League and are very ambitious," La Florio told Radyospor.
"If Galatasaray are interested then obviously we would consider any offers made.
"It's an honour for a manager like Mancini to be interested in El Shaarawy.
"If our terms are met we would be open to talks.
"However, for the time being El Shaarway is keen to continue at AC Milan."
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