Rodriguez has endured a difficult season at Real Madrid, making just 32 appearances across all competitions despite scoring 11 goals along the way.
As a result of his lack of game time the Colombia international looks set to leave the Bernabeu, with Manchester United among his admirers.
He even appeared to wave goodbye to Real fans during their 4-1 home win over Sevilla last month, while he also looks set to be overlooked for a starting spot in the club's Champions League final clash with Juventus tomorrow.
However, Spanish outlet Diario Gol claim that this could upset Ronaldo, who has supposedly been begging Zidane to keep the player.
How Man United could look with James Rodriguez Tue, May 16, 2017
Is this how Manchester United could look if they sign James Rodriguez from Real Madrid?
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Is this how Manchester United could look if they sign James Rodriguez?
Cristiano Ronaldo and James Rodriguez are close friends at Real Madrid
Cristiano Ronaldo is upset James Rodriguez could swap Real Madrid for Manchester United
The report adds that Rodriguez looks to be on his way to Manchester United as Jose Mourinho seeks more attacking talents to bolster his goal-shy frontline.
Ronaldo has been encouraging Real to keep the player, believing that the number of allies within the dressing room are diminishing.
Pepe and Fabio Coentrao, who he plays alongside for Portugal, both look set to be shown the exit door as Zidane seeks new blood for next season.
Rodriguez is reportedly one of the few players Ronaldo is determined for the club to keep – but his protests appear set to fall on deaf ears.
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Chelsea star Eden Hazard could replace Man Utd-bound James Rodriguez
Zidane also wanted the player gone last summer but Ronaldo's influence was seemingly enough for Rodriguez to be given one more year to prove himself.
It is said that, as a result of his imminent transfer, Real could make a huge move for Chelsea star Eden Hazard.
Zidane is known to be a fan of the Belgium international, who drove the Blues to the Premier League title by scoring 17 goals across all competitions.
Rodriguez, meanwhile, is destined to leave the club. United and Serie A giants Inter Milan are both in the running for his signature.