But there is another London club that could benefit from a player of his renown, and they happen to have a man in charge that would be very familiar to the former Inter Milan and Real Madrid midfielder.
Tottenham Hotspur, led by former Argentina teammate of Cambiasso, Mauricio Pochettino (the two players shared squads in the early 2000s), could be a superb home for the player to have a final hurrah.
Though he is no spring chicken, Cambiasso has been lucky enough to go his entire career without suffering a major injury, and he proved last season at the King Power stadium that he still has the quality to boss top flight matches, despite the pace of the Premier League.
Of course, how much Cambiasso interests Spurs will depend on whether Pochettino believes there is any place for a senior player in what appears to be the youthful, energetic, pressing team that he is creating.
The former Southampton boss has also already sold Etienne Capoue and Benjamin Stambouli this summer, the club's former defensive midfielders, while also getting rid of Paulinho, so it appears he is happy to be creating a core of the team that is built around the club's younger players.
But Pochettino is not stupid, he would be well aware of the value of a player as experienced as Cambiasso, with his near 700 club appearances in four different countries.
The benefits of a move certainly seem to outweigh the negatives, especially considering Spurs were linked with the player last summer according to the Mirror. With the club said to be looking for midfield options this year as well but unable to find the appropriate player, Cambiasso could be signed for nothing on a short-term contract, and rested to bring one of the club's younger players in on occasions, having already proved himself in the division.
And let's not forget that Pochettino, a student of famed Argentinian manager Marcelo Bielsa, was in and around the international side just as Cambiasso was appeared on the scene for his country. Bielsa gave both players their international debut, although as a young player, Cambiasso didn't establish himself until a few years later.
However, both the 34-year-old and his compatriot Pochettino would likely be singing from the same hymn sheet when it comes to their approach to football, and Tottenham's many young midfielders would benefit from a player of Cambiasso's class and experience, even if it was just for a season.