"Got out on parole, got my parole date, got smashed and went and rolled this [expletive] for his money, then bashed him and choked him."
Witness Samantha Sky French told the court that Livingstone punched Quayle before jumping on him and putting him into a chokehold on the ground.
She said Livingstone screamed "die!" as he crouched over him. Minutes later the Kiwi's "whole body just seemed to go limp".
A passerby tried to revive Quayle but he was later pronounced dead.
He was found just 100m away from the home he shared with his brother.
Livingstone appealed his conviction on several grounds, claiming that the damning phone call he made from jail should not have been played to the jury during the trial.
The justices who heard the appeal dismissed Livingstone's case.