The Roma boss is determined to keep the Italy international midfielder at the Stadio Olimpico, despite a race for his signature also featuring Real Madrid and Paris Saint-Germain
The Giallorossi midfielder endured a difficult 2012-13 campaign, with former coach Zdenek Zeman falling out with the player, leading to his exclusion from the first XI and, as revealed by Goal, Real Madrid and Paris Saint-Germain are also competing with the Blues for his signature.
However, the Frenchman, who moved to the Italian capital from Lille in June, is eager to ensure that the 29-year-old stays put.
"He is a great player and surely it's better to have him with us than to see him leave," Garcia told reporters.
Both Pablo Osvaldo and Marquinhos have been linked wtih moves away from the Olimpico this summer, with the latter attracting attention from Barcelona, but Garcia says that there is no update on their futures.
He added: "They are still with us - we would like to keep the best players - but, if they were to leave, we will replace them."