The Merseysiders are being linked with a £25million swoop for the Chelsea playmaker, with suggestions they will rival Manchester United for the Spaniard's signature this summer.
Fabregas, a World Cup winner with Spain, has not been a regular starter in the Premier League this season but has played a decisive role in his numerous appearances off the bench.
Speaking to the Alan Brazil Sports Breakfast, Garca said of the 29-year-old: "The technique, the ability he has got, the mindset of knowing always what is happening around him, he is one of those players who can fit everywhere.
"Of course, for Liverpool he would be a fantastic fit.
"The other side of this is how fans will receive a Chelsea player! We will see what happens."