Unification is the catchword for 2018 after Britain's Anthony Joshua defended his WBA and IBF titles against Carlos Takam last weekend.
Parker, the WBO champion, is the third fighter in the equation and Wilder was brutal in his assessment of the Kiwi's talent and campaign.
Parker attended Wilder's last fight in February, when the American took his record to 38-0 against Gerald Washington, and spoke of his hopes of getting in the ring with him. But with Parker bogged down with a mandatory defence against Hughie Fury, the Wilder fight hasn't eventuated.