Prop Ruan Dreyer will make his second Test appearance for South Africa against the All Blacks as one of three changes to the side that faced Australia.
Dreyer has replaced fellow tighthead prop Coenie Oosthuizen, who broke his arm in last week's 23-23 draw with the Wallabies in Perth, for the Rugby Championship fixture, live on Sky Sports Action from 8am on Saturday.
Flanker Jaco Kriel was also sent home from Auckland after scans revealed a torn muscle in his shoulder and was replaced in the starting side by Jean-Luc du Preez.
"We look at who we have and how we can get the best out of those players," Coetzee said.
"Ruan Dreyer has had a great Super Rugby season and I have got him to start because Trevor Nyakane brings great impact off the bench.
"There are certain players who play a certain role and that has been working really well with our impact off the bench and that's what I expect Trevor to do."
Lock Franco Mostert returns to the starting side to partner captain Eben Etzebeth in the second row with Pieter-Steph du Toit dropping onto the bench in the only other change.
"Franco had five superb matches before he was rested last week," Coetzee said.
"He is refreshed again and I expect another strong performance from him as his high work rate is much needed."
South Africa: 15 Andries Coetzee, 14 Raymond Rhule, 13 Jesse Kriel, 12 Jan Serfontein, 11 Courtnall Skosan, 10 Elton Jantjies, 9 Ross Cronje; 1 Tendai Mtawarira, 2 Malcolm Marx, 3 Ruan Dreyer, 4 Eben Etzebeth (c), 5 Franco Mostert, 6 Siya Kolisi, 7 Jean-Luc du Preez, 8 Uzair Cassiem.
Replacements: 16 Bongi Mbonambi, 17 Steven Kitshoff, 18 Trevor Nyakane, 19 Lood de Jager, 20 Pieter-Steph du Toit, 21 Francois Hougaard, 22 Handre Pollard, 23 Damian de Allende.