Sneijder appears to be on his way out of Inter this month and Gala are reportedly frontrunners for his signature.
The Holland international has cut an isolated figure at the San Siro this season, making just five Serie A appearances and publicly refusing to accept a two million euro wage cut.
Reports earlier this week suggested Galatasaray had a 10million euro bid accepted by Inter, while Sneijder's annual wages are believed to be above five million.
Fenerbahce chief Kigili fails to see how the move is financially viable, telling Vatan: "If what I'm reading about is correct, the cost of Sneijder is both astronomical and absurd.
"Where will Galatasaray get this money?
"Each transfer has to be well thought out. However, the amounts I'm hearing are simply blown out of all proportion."
Inter president Massimo Moratti is keen to see the saga wrapped up as speculation rumbles on.
He said: "I'm tired of this saga.
"I don't know how this story will end. Wesley will decide freely. He has the opportunity to move and we'll see if he takes it, otherwise he'll stay here."