The 26-year-old joined the Bantams on a free transfer in July 2011 but failed to secure a regular first team berth this season, making ten appearances.
Bradford boss Phil Parkinson said the player has left with the best wishes of the club.
He told the club's official website: "Ritchie recently expressed a desire to try and play more first-team football.
"Unable to promise that for him here, I didn't want to stand in his way in his search for more games.
"Ritchie leaves the football club with our best wishes."
Jones will be able to move to another club outside the transfer window as a free agent.