British and Commonwealth heavyweight champion Price made sure the first ever professional meeting between two British Olympians was short and brutal.
Harrison, surely now at the end of an underwhelming 12-year stint in the paid ranks following his march to gold in Sydney, was knocked out after 82 seconds as fans in Price's home town of Liverpool were treated to a clinical display of fearsome power punching.
The Beijing bronze medallist drew rich praise from all quarters, with one notable exception.
Attending James DeGale's successful European super-middleweight title defence against France's Hadillah Mohoumadi in Kent, Fury lambasted Harrison, Price's promoter Frank Maloney and Price himself - who he then bizarrely suggested had a "gay lover" in Liverpool's British light-heavyweight champion Tony Bellew.
In the early hours of Sunday morning, Fury posted a video on his Twitter page where he repeated the bizarre claim and the improbable prospect of taking on Price and Bellew at the same time, telling the former: "I'm going to put you in intensive care."
This echoed the 24-year-old Mancunian's much-criticised threat of "killing you in the ring" before he fought Dereck Chisora in July last year - a jibe for which he apologised.
Reacting to Fury's television diatribe, Price was perplexed.
"He's round the bend," said Price.
"I don't know what to make of that.
"He cannot handle other people getting praise and credit and that's why he spat his dummy out on TV and made an absolute fool of himself by the sound of it.
"He can say what he wants, honest to God."
Robert Smith, general secretary of the British Boxing Board of Control, had no initial comment to make regarding Fury.
Saturday night's victory was Price's first defence of the British and Commonwealth belts he won over four rounds against Sam Sexton in May at Aintree.
Those titles were only available because Fury chose to vacate them when a clash between himself and then mandatory challenger Price was set to go to purse bids in February.
A clash with seasoned veteran Matt Skelton on December 8 is next on the agenda for Price, but with the clamour for a Fury showdown set to increase the 29-year-old has little doubt what the outcome would be in a fight against his fellow unbeaten prospect.
"The man's brilliant for me because, you know what, he's going to make me a lot of money," he said.
"And it's not going to be a difficult job taking his head off his shoulders because I will knock him out like I knocked Audley Harrison out."
Some seasoned observers are already setting their sights higher.
Building up to his own highly-anticipated ring return, Ricky Hatton took to Twitter to state his belief that Price is already good enough to beat heavyweight rulers Vitali and Wladimir Klitschko after 12 knockouts in 14 outings.
The man himself is happy to continue with his career progression and insists there is no rush to chase the division's biggest prizes.
"Lovely comments from Ricky," Price added. "I've got a lot of time and respect for Ricky Hatton. If he's saying things like that I can only take it as a compliment.
"But we'll do it in our own time, we'll do it when we're ready."