Coetzee said he knew the areas that required further work: "We had them under pressure at times, but you can not give the ball away against New Zealand".
South Africa fired back with a try five minutes later through flanker Jean-Luc du Preez but just when you think the All Blacks are on the back foot, they create something out of nothing and score a scintillating try.
But they held on to finish the southern hemisphere championship with a 100 percent success rate for a second successive year.
Australia will pip South Africa for second place if they defeat bottom-of-the-table Argentina in Mendoza later on Saturday.
The champs also came through after losing playmaker Beauden Barrett to a head knock midway through the first half, and risky winger Nehe Milner-Skudder to a dislocated right shoulder at the end of the half.
Dove apologizes for racially insensitive Facebook advertisement
Dove's recent Facebook ad was the latter , and the company has now (sort of) apologized - but we're not sure that's enough. Dove said in a statement to Gawker, "All three women are meant to demonstrate the "after" product benefit".
"It was really pleasing to come back from that 57-0 drubbing which we never felt defined this team".
"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. "But working for the mate next to you; that is something you can not coach and that makes me so proud to see how they play for each other". We understand what we do when we do it.
Coetzee feels that they are building variety in their play, with tactical kicking part of the plan against New Zealand.
"We have a couple of world-class players in the pack". The players are getting better and better.
The rugby ranking system was brought in by World Rugby just before the 2003 World Cup. Guys like Kitshoff, Marx, Eben, they have played like world class players all year. They are a quality side when they get that roll on and momentum and it was hard for us to stem that so we'll look at how we can do that later on'. Compared to 2016, we have had a proper season in 2017 and have been able to plan properly.