The Norway international knows he has no chance of minutes at Real this season and needs to leave.
Having spent the past 18 months on-loan with Heerenveen, Odegaard could seek to cut all ties with Real and move away in a permanent deal.
And Championship interest is arriving for the midfielder.
Earlier this month, Odegaard's new agent Bjorn Tore Kvarme confirmed: "We are in good contact with Real Madrid. They wanted him to join them for preseason and we would then assess the situation afterwards."