The Hungary international midfielder has ended his five-year stay at Loftus Road after failing to agree terms on a new deal with the west London club
The Hungarian attacker initally joined the club on loan from Plymouth Argyle in 2007, before making the move permanent in January 2008.
He made more than 100 appearances for the Hoops, but was less of a key figure in the last campaign making just 21 appearances and scoring twice.
Buszaky was bought by then FC Porto boss Jose Mourinho in the summer of 2002, before arriving on loan at Championship club Plymouth in 2004.
His impressive performances for the Pilgrims saw the move made permanent, but he fell out with the hierarchy at the club and three years later made a move to Loftus Road.
He made a good start to life at QPR, scoring seven goals in his first 12 appearances, however his future at the club appeared in doubt not long after, following reports of a bust-up with then manager Jim Magiliton - who lost his job over the incident.
A knee injury meant he was not a key component of the QPR side that won the Championship under Neil Warnock, although he still managed to make 19 league appearances.
Rangers had wanted to keep him at the club, however the two parties were unable to reach an agreement on new terms.