The Turkish chief has belittled the Biancocelesti's attempts to lure the club's prized asset to the Italian capital
The Biancocelesti are believed to have lodged an initial bid of €300,000 to secure a season-long loan move for the 28-year-old, before proposing to pay an additional €8.7 million at the end of the campaign to make the move permanent.
Aysal, though, has laughed off the efforts of his Italian counterparts, describing the offer as "funny".
He told Hurriyet: "Burak is one of the most valuable player of our team and we need him. He scored eight goals last season in Champions League.
"Thank you for offer but we won't consider about it because the offer was a little bit funny."
Yilmaz, whose current deal expires in 2016, netted 30 times for the Turkish giants last season en route to winning the domestic title for a second successive year.