The Colombia international has struggled at The Bernabeu since his move to Real Madrid in a big-money deal from Ligue 1 outfit Monaco in the 2014 summer transfer window.
Rodriguez is expected to leave Real Madrid in the summer after Zinedine Zidane omitted the South American from his Champions League squad for the final in Cardiff.
Manchester United are thought to be favourites to sign Rodriguez, but Premier League champions Chelsea have also emerged as contenders to sign the Colombian star.
Conte will be preparing his squad for a return to the Champions League next term after the Blues benefited from a reduced fixture list in the 2016-17 campaign.
Speaking to ESPN FC about Rodriguez and how the midfielder would do at Chelsea should the English champions sign the Real Madrid star, Moreno said:
“He is a player that needs loving.
“He needs someone to care and appreciate him like he is in Colombia. When he is taken care of, his performances are special.
“He is a talented player. He needs the right kind of manager to perform.”
Chelsea finished seven points clear of second-placed Tottenham Hotspur in the Premier League title race.
The Blues lost 2-1 to bitter rivals Arsenal in the FA Cup final at Wembley last month.
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