"I think we did enough to win the game, there were just two points needed for us to get over the line", said Coetzee.
At 25-17, the All Blacks created enough of a cushion to cling on, even after hooker Malcolm Marx drove over for South Africa with two minutes left.
The lead changed hands twice in the ensuing 10 minutes, South African replacement back Jean-Luc du Preez's try negated by a sizzling 50-metre solo effort from All Blacks fullback Damian McKenzie.
"We know we'll be playing a proud Springbok side which will be determined to rectify what happened (in Auckland)", he said when naming his side on Thursday.
Australia will pip South Africa for second place if they defeat bottom-of-the-table Argentina in Mendoza later on Saturday.
"That they were totally committed was the prevalent thing to take away from the game and it shows our processes are on track".
Nirmala Sitharaman teaches Chinese soldiers the meaning of 'Namaste'
After Doklam crisis, Defence Minister Nirmala Sitharaman will address top Army brass during the commanders' conference tomorrow. The bemused Chinese soldiers hit it right when they burst out it was a "Ni Hao" or a Chinese "hello, how are you".
But whether by 57 points or one, New Zealand found a way to win and cap another masterly tournament.
With the All Blacks leading 8-3 at half time, the Springboks levelled the match shortly after the break and looked to be dominating until winger Reiko Ioane intercepted a Ross Cronje's pass inside New Zealand's 22 to run the length of the field and put the All Blacks back in control.
"It's not a flawless formula and I believe it's a positive that we can move between that direct style of play and using more width, and we can also pressure teams with our kicking game", said Coetzee.
"We want to finish the Championship on a high note, every test is important for us", Read told a news conference after the All Blacks concluded their preparations for their last game of this year's southern hemisphere championship.
Over the near eight year reign the All Blacks have claimed two World Cup titles and played 106 tests, losing just eight with three draws.
"Some of our younger players have not been in that situation before - that when it is tough you have to find a way".