Coleman and Arnold started in Australia's last-up win over Argentina at Twickenham but staring down the world champions for the first time together - on their home turf and at a venue where they are unbeaten against all comers since 1994 - is a whole new proposition.
Cheika is also believed to be weighing up whether to rush star loose forward David Pocock straight back into his starting line-up after a month out following hand surgery.
Lopeti Timani started at No.8 against the Pumas, but Cheika is likely to revert to a back row of Pocock, Michael Hooper and either Scott Fardy or fellow lineout option Dean Mumm as blindside flanker.
Australia's international coach of the year is also understood to be toying with the idea of shifting Bernard Foley back to five-eighth and bringing Reece Hodge from the wing into his preferred inside centre position.
That would leave Quade Cooper starting from the bench and either Henry Speight or fellow Fiji-born flyer Sefa Naivalu to start on the wing.
Israel Folau is again likely to start at fullback despite more calls for the two-time John Eales Medallist to be shifted to outside centre.
Nick Phipps is expected to replace Will Genia after the in-form halfback's return to his French club commitments, though Cheika could decide to give Nick Frisby a start.
Despite the Bledisloe Cup already being lost for another year, the Wallabies are desperate to break their 30-year Eden Park hoodoo.