The Istanbul outfit have agreed a fee with Inter but while Aysal admits that Sneijder is the first name on manager Fatih Terin's list, he says that the club have already identified alternative targets if the Dutchman fails to agree personal terms.
Aysal told reporters: "We'll wait another three or four days for Sneijder. If the deal collapses, we have alternatives. The figures quoted in the media are wrong. Our deal with Inter is worth €7.5m (£6.3m).
"The player knows our proposal. Inter are now calculating things with him. Our offer for his wages is below €5.5m (£4.5m). It is also true that our coach Fatih Terim wants Sneijder – he is the first name on his list.
"I see no reason why the transfer should not go through. Even if it does collapse, it won't be the end of the world."
Reports have suggested that Sneijder is interested in a move to the Premier League.