The 22-year-old scored four goals from 31 La Liga matches last term, registering three assists along the way.
And they, rather than Arsenal, appear to be his preference if he’s to leave Madrid in the January transfer window.
It’s claimed that, back in the summer, Real told Sociedad they’d inform them if the player was put on the market.
But while the midfielder wants to leave the Bernabeu behind, albeit temporarily, Los Blancos are going to try and get Odegaard to change his mind.
They’ve already weakened themselves by allowing Luka Jovic to leave, with the Serbia international returning to German side Eintracht Frankfurt on loan.