Nevertheless, medical evidence was sent to the WBO and the organization decided Fury remained the mandatory challenger. Fury gave up on a career-high purse of about $1.6million, and this time his promoter Frank Warren carries all the risk.
"I can't wait to get back under the lights and do what I do best," said Fury, who hopes to emulate cousin Tyson and win a world heavyweight title.
"I was disappointed to miss out my shot against Parker but this is boxing and injuries happen all of the time. I will get my shot at the WBO heavyweight belt later this year and follow in the footsteps of Tyson."
Trainer and father Peter Fury said Hughie had fully recovered from his back injury and his next fight was an opportunity to stay busy ahead of his challenge against Parker.
"We are treating this fight as a warm-up to the big one later this year. The division is certainly opening up with plenty of opportunities and we are confident that Hughie is going to figure dominantly for years to come."
Warren said: "He needs to get this warm-up fight out of the way before he faces Parker later in the year. I am confident that the WBO heavyweight belt will once again be in possession of the Fury family come the end of the year."
Parker's fight in May meant he missed the opportunity to view the epic Anthony Joshua v Wladimir Klitschko fight at Wembley in person. His impending visit to England will allow him to slowly but surely increase his profile in what is undoubtedly the current home of heavyweight boxing.