Fabregas seems set to leave Barcelona this summer with the Spanish giants willing to listen to offers for the midfielder.
Jose Mourinho has confirmed he is interested in bringing former Arsenal man Fabregas back to the Premier League and Torres and Azpilicueta believe the midfielder would be a perfect addition at Stamford Bridge.
"He is a kind of player that Chelsea don't have at the moment," Torres told Movistar.
"Great players are always great signings. We know him well, he was one of the best players in the Premier League while playing for Arsenal and is a player who brings a lot to the team.
"He is a player who brings ball control and goals. If he feels important, if he feels like a leader he proved at Arsenal that can lead a squad."
Azpilicueta admits he would love to see Fabregas join him at Stamford Bridge, describing him as a "special player".
"At the moment there's nothing official and he's a Barca player," said Azpilicueta.
"All I can say is what I already know about him. He's a great central midfielder with plenty of experience in the Premier League. The best players are always welcome at the best clubs.
"In my personal opinion, he's a special player.
"Few teams have this kind of player in their team, a central midfielder who gets forward really well and has great vision of the game, whilst there's also his statistics, which speak for themselves.
"He can adapt to various positions. Right now, we don't have a player like Cesc at Chelsea."