The former Benfica man was signed during the 2012 Summer window for a fairly big fee of 20 million euros but since joining, Garcia has largely failed to impress.
Manchester City currently have a big problem area at the heart of the defence with talented youngster Matija Nastasic seemingly injury prone, they are looking towards bringing in Toby Alderweireld from Atletico Madrid because they think he would be an ideal acquisition.
Alderweireld was actually the replacement for Martin Demichelis who left in the Summer for Manchester City for 5 million euros after joining the Spanish side during that same Summer for free.
footballdirectnews understands that City believe that by offering Garcia, they would be able to get Alderweireld.
Alderweireld will probably look to move on from Aletico regardless of City's interest due to a lack of playing time with the 25 year-old unable to break into the starting line-up regularly with just 9 league appearances.