The Heisman Trophy winner met with the media Friday in the lead up to the BCS championship game against No. 2 Auburn.
He says he and his teammates have not concerned themselves with the speculation and reports about Fisher being a candidate to replace Mack Brown at Texas.
He added, jokingly: "Even if Coach Fisher goes to Texas, I'm going to ask him can I go with you? Yeah, I'm serious. He's my coach."
Winston also says he was a fan of former Texas quarterback Vince Young and wanted to play for Texas. He says he even tried to call Brown.