Arsenal are third favourites to sign the Colombian playmaker.
The 25-year-old has only been with the Spanish giants for two years following his £63 million switch (reported by The Telegraph) to the Bernabeu in 2014 after winning the Golden Boot at the World Cup in Brazil that year.
But the Colombian ace has majorly struggled to nail down regular spots in Real's first XI under Rafael Benitez and Zinedine Zidane last season.
As a result, Rodriguez might well be on the move and Bet Victor have priced Arsenal as 10/1 - third favourites - to bring him to the Emirates.
That being said, Paris Saint-Germain are 11/10 favourites ahead of Manchester United, who are rated at 3/1.
Both sides do seem more likely than Arsenal to make a move, with Arsene Wenger already boasting a number 10 of Mesut Ozil's class. Arsenal fans will not be overly excited by the odds; not when their side is desperately short on top-class defenders and centre-forward options.