Hanigan hasn't played a Test since 2018, but Rennie said the 25-year-old deserved an global recall for his training performance.
Harry Wilson, who played for the Blindside Flanker in Wellington, moves to eighth place, and Pete Samu is eliminated from game day because of the Eden Park clash.
Hooker Folau Fainga'a, who struggled at lineout time and almost gifted the All Blacks a try with a sloppy pass, makes way for Brandon Paenga-Amosa, and the size of the pack has been bolstered by Ned Hanigan replacing Pete Samu in the loose forwards.
"Alex has been impressive in the training weeks".
"There were some late charges and one or two other incidents but All Blacks don't cry - we just get on with it and we adjust to how the game's being refereed".
Hanigan, who can also play lock, offers the Wallabies an additional lineout option against the All Blacks.
All Blacks head coach Ian Foster said: "Our preparation this week has been really good".
Paisami performed well in his Test debut last Sunday and will again partner Matt To'omua in the centres. Center Jordan Petaia is on the bench after missing the first test with injury and Liam Wright takes a bench spot from Rob Valetini.
The All Blacks also made changes to their matchday roster. Barrett was set to start at the back last week, but had to withdraw due to a slight injury niggle.
Up front, an injury to Sam Whitelock opens the door for Tupou Vaa'i to start at No 5, while in the front row Dane Coles comes in for Codie Taylor.
Foster criticised the three-time world champions' "relatively poor" game management for the drawn first Bledisloe Cup Test in Wellington, and warned they will not make the same mistake in round two on Sunday.
The Wallabies are chasing their first victory over the All Blacks at Eden Park in 34 years.
Centre Rieko Ioane, who botched a certain try with a cavalier finish in Wellington, was dropped to the bench with Anton Lienert-Brown linking with Jack Goodhue in the midfield.
Cane added that last week's result did not increase the pressure on the team, who have held the symbol of trans-Tasman supremacy since 2003.
In addition to the Wallabies and All Blacks, Argentina will also contest the Tri-Nations Championship.
Speaking to media after announcing his Wallabies team for the second Test earlier Friday, Rennie said the Wallabies had delivered their own feedback about Williams' refereeing in Wellington - where they were on the wrong end of a 14-7 penalty count - but had done so through the correct channels. We hope that we have succeeded by giving you the full details and information.
WestJet to suspend Ottawa-Halifax flights
WestJet has already laid off thousands of its staff since the global pandemic took hold. Since March, the company has flown approximately one million passengers in total.
Lycoming County 8 new COVID-19 cases
The IDPH lists cases and tests performed by ZIP code, while the county health department lists cases by municipality. The IDPH reported 331,620 people in IL have tested positive for COVID-19, while 9,127 people have died statewide.