Villa have long been linked with a move for the 29-year-old Turkish international midfielder and now the Foxes have confirmed that both The Villa and Blackburn Rovers have made enquiries.
Foxes director of football Dave Bassett told Sky Sports: "Villa and Blackburn have enquired about Izzet, but there are no firm bids on the table.
"We want to keep him and he knows we want to keep him, however we can't begin negotiations until we know what division we are in."