His agent Carlo Cutropia has hinted that interest from Italy - Napoli are believed to be tracking him - could persuade Granero to change his mind.
He said: "Swansea and QPR are talking about a transfer, it's true.
"Michael Laudrup knows him very well from their time at Getafe where together they had a great UEFA Cup campaign.
"Swansea would be an absolutely acceptable destination for Esteban.
"I've received many enquiries from Spanish and English clubs but for various reasons we have not reached a conclusion.
"The dream of Esteban is to one day play in Italy.
"If we get calls from Italy we'll take them into serious consideration."