Two of the changes and an overhaul of the bench were forced by Cheika's decision to leave front-row forwards Francisco Gomez Kodela, Agustin Creevy and Nahuel Tetaz Chaparro as well as winger Juan Imhoff out of the squad for the New Zealand trip.
Although Argentina lead the Rugby Championship standings after the first two rounds, Cheika knows he must manage the game time of his more experienced players with half an eye on next year's World Cup.
Joel Sclavi moves up from the bench to replace Gomez Kodela at tighthead prop and Lucio Cinti, nominally a centre, will start on the left wing in place of Imhoff, bringing a bit more bulk to the Pumas backline in Christchurch.
The third change was an enforced tweak to the midfield, Matias Orlando coming in at inside centre to partner Matias Moroni in place of Jeronimo de la Fuente, who pulled a hamstring in the act of scoring a try against the Wallabies.
On the bench, Santiago Socino will back up skipper Julian Montoya at hooker and props Mayco Vivas and Eduardo Bello have come in to cover the other spots in the front row.
Lock Guido Petti replaces Facundo Isa, Santiago Grondona has been selected to back up the loose forwards instead of Rodrigo Bruni, and winger Santiago Cordero covers the outside backs.
Cheika was an advisor to the team when the Pumas earned their first win over New Zealand in Sydney two years ago and said he would like nothing better than to lead Argentina to their maiden victory over the All Blacks in their own backyard.
Having been on the losing side more often than not against New Zealand when he was Australia coach, including in the 2015 World Cup final, Cheika knows that will be easier said than done.
"Realistically everyone is expecting them to dust us in the two games at home," he told New Zealand's Sky TV this week.
"The only people who have got to think the opposite is us and we've got try and win small battles along the way. We've got to try and work out how can we put them under pressure and make them have to deal with the challenge from us ..."
For New Zealand, Barrett was ruled out after suffering a neck injury at training, paving the way for Auckland Blues pivot Perofeta to make his test debut off the bench.
After losing the home series against Ireland and the Rugby Championship opener in Mbombela against South Africa, the All Blacks returned to form with an impressive 35-23 victory over the Springboks at Ellis Park in Johannesburg in their last match.
Returning to Christchurch for the first time since 2016, the All Blacks face a resurgent Argentina, who thrashed an injury-depleted Australia 48-17 in San Juan after losing to the Wallabies in Mendoza.
"It’s great for us to be able to return to Christchurch,” Foster said in a statement.
"The All Blacks have such a rich history here and it’s exciting to build on that.
"The recent form of Argentina makes this a test one that we are looking forward to. And the fact that the ... Rugby Championship is incredibly even, means this test is vital to us."
The All Blacks will start their first match with selector Joe Schmidt taking on more of a hands-on role as an attack coach and strategist on Foster's staff.
New Zealand
Team: 15-Jordie Barrett, 14-Will Jordan, 13-Rieko Ioane, 12-David Havili, 11-Caleb Clarke, 10-Richie Mo'unga, 9-Aaron Smith, 8-Ardie Savea, 7-Sam Cane (captain), 6-Shannon Frizell, 5-Scott Barrett, 4-Sam Whitelock, 3-Tyrel Lomax, 2-Samisoni Taukei'aho, 1-Ethan de Groot
Replacements: 16-Codie Taylor, 17-George Bower, 18-Fletcher Newell, 19-Tupou Vaa'i, 20-Akira Ioane, 21-Finlay Christie, 22-Stephen Perofeta, 23-Quinn Tupaea
Argentina
Team: 15-Juan Cruz Mallia, 14-Emiliano Boffelli, 13-Matias Moroni, 12-Matias Orlando, 11-Lucio Cinti, 10-Santiago Carreras, 9-Gonzalo Bertranou, 8-Pablo Matera, 7-Marcos Kremer, 6-Juan Martin Gonzalez, 5-Tomas Lavanini, 4-Matias Alemanno, 3-Joel Sclavi, 2-Julian Montoya (captain), 1-Thomas Gallo
Replacements: 16-Santiago Socino, 17-Mayco Vivas, 18-Eduardo Bello, 19-Guido Petti, 20-Santiago Grondona, 21-Tomas Cubeli, 22-Tomas Albornoz, 23-Santiago Cordero.
