The Samoan government were the official tourism partners for Parker's world title victory over Andy Ruiz Jr in Auckland last December and will be again this Saturday. Prime Minister Tuilaepa Aiono Sailele Malielegaoi is a big supporter of Parker, who has Samoan heritage.
No discussions have been entered into, but the prospect of a bout in the middle of Apia Park among a partisan crowd is unlikely to be something that Hughie Fury and his trainer and father Peter would look forward to.
Duco, who won the purse bid, retain the rights to hold the fight wherever they want, and probably feel that Parker has moved on from the likes of Fury now. Trainer Kevin Barry, normally a conservative figure as far as opponents are concerned, believes Fury would hardly land a glove on his 25-year-old fighter.
Fury aside, England has been calling Parker for a while now, and the siren will be sounding louder after he watched - in an Auckland bar - Anthony Joshua's epic victory over Wladimir Klitschko at Wembley Stadium, a win that has installed the Englishman as the most feared and lucrative heavyweight in the world.
There will be no shortage of challengers for Parker's title in what now must be considered the current home of heavyweight boxing.
Dillian Whyte, who rocked Joshua in the second round of their fight in London two years ago (before becoming yet another knockout victim), will be one, as will be Dereck Chisora, a man who lost, by split decision, an epic 12-rounder with Whyte in Manchester last December.
Most intriguing of all, though, is Tony Bellew, the charismatic Liverpudlian who saw his fame and notoriety skyrocket after beating David Haye in a dramatic bout in March.
Bellew, 34, considered retiring after his latest victory but has decided to continue and he sees Parker as the smallest, and therefore easiest, of the current heavyweight champions. Conversely, Team Parker see Bellew, who normally fights at cruiserweight, as a relatively easy and extremely lucrative night in the ring.
American Deontay Wilder is keen to fight Parker in a bid to unify his WBC belt with Parker's WBO title, but he has a mandatory challenger in the form of Bermane Stiverne, and although a unification fight would take precedence, Stiverne is promoted by the litigious Don King.
Wilder's main motivation for a Parker fight is to increase his profile for a more lucrative bout against Joshua.
Joshua, who has a re-match clause with Klitschko, also has a mandatory challenger in Kubrat Pulev. For Parker and the rest of the world's heavyweights, all roads lead to Joshua.