Striker Yilmaz has been linked with a switch to Stamford Bridge after hitting 24 league goals last season, in what was his debut campaign with the club.
The Turkey international came close to joining Serie A side Lazio during the close-season and Aysal says he would not block any potential transfer.
"If he wants to go and Chelsea are interested then of course, why not? I favour Turkish players going to Europe to play in European leagues," he said.
"No (we have not received an offer from Chelsea), not yet.
"We had some requests from Lazio at the end of the summer. But the deal didn't go through because the conditions were not satisfied.
Yilmaz moved to the Turk Telecom Arena from Trabzonspor after scoring 33 goals in 34 league games in 2011-12.
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