Although the Bianconeri are among the clubs who were considering a move for the Colombian, he is unlikely to depart the Spanish capital this summer.
James Rodriguez will not be sold by Real Madrid this summer, despite his campaign being hampered by poor form and injuries.
The Colombian playmaker has mainly been on the periphery at the Estadio Santiago Bernabeu this term, falling out of favour with both Rafael Benitez and current boss Zinedine Zidane.
When he arrived at the club after impressing at the 2014 World Cup in Br azil big things were expected, but he has flattered to deceive for the past 12 months, making only 21 starts in La Liga and sparking rumours of a move in the closed season.
But Real now intend to keep hold of Rodriguez, with his agent Jorge Mendes told to hold off on any offers that may come his way for the former Porto man.
It is believed that the fee paid to Monaco two years ago, around €80 million, is too high to cast him aside after just two seasons, leaving the likes of Manchester United, Paris Saint-Germain and Juventus disappointed.
With the Champions League final to come on May 28, against city rivals Atletico, James could turn his season round with a good performance, should he be given the opportunity by Zidane.