The West Ham striker on loan to QPR allegedly stormed out after failing to make the matchday squad at Anfield and returned London on his own.
Zarate has managed just 71 minutes in a QPR first team shirt since his early January arrival on loan. He has only managed four second half substitutions for the Hoops against Burnley, Southampton, Sunderland and Hull, three of which resulted in losses.
QPR are thought to be picking up his full £40,000 per wages plus a loan fee meaning his loan stint will cost QPR just under one million pounds or around £14,000 for every minute he has spent on the pitch.
West Ham tried to bring Zarate back from his ill-fated loan at the end of January when their move for Spurs striker Emmanuel Adebayor fell through at the 11th hour, but were stopped by Premier League rules.