The two were teammates at Real Madrid and Ronaldo seems keen for Rodriguez to move away from his former club and join him in Turin.
James is reaching the end of his two-year loan spell with Bayern Munich and seems to have plenty of potential suitors if his transfer is not made permanent.
And his father, Wilson Rodriguez concedes it may be in the best interest of his son to make the switch to Turin.
He told Sport Bild: "He has many offers. He is a good friends with Cristiano.
"The way I perceive Italian football right now, moving to [Juventus] would be a good decision."
The Colombia international has made 14 appearances in all competitions for Bayern this season, scoring three goals.