The defender has informed the club that he is unwilling to make peace with the Chelsea captain, who faces a criminal trial over allegations of racial abuse
The Blues captain is set to face trial on July 9 over allegations that he racially abused the Rs man in the reverse fixture last October.
The pre-match handshake between the two teams was cancelled when they met in the FA Cup in January, yet it is thought that Premier League officials have no intention of doing the same this weekend.
Despite the England international denying the allegations, Hoops boss Mark Hughes and chief executive Phil Beard are thought to be deciding what action to take following Ferdinand's announcement.
QPR will hope to boost their chances of Premier League survival with a win in the London derby whilst Chelsea are still in with a chance of securing a top-four finish.