All Blacks coach Steve Hansen applauded the intensity of the Springboks and labelled South Africa a quality side after his team sneaked a one point victory in Cape Town.
"I feel sorry for the players", Coetzee said.
Team: 15-Andries Coetzee, 14-Dillyn Leyds, 13-Jesse Kriel, 12-Jan Serfontein, 11-Courtnall Skosan, 10-Elton Jantjies, 9-Ross Cronje, 8-Francois Louw, 7-Pieter-Steph du Toit, 6-Siya Kolisi, 5-Lood de Jager, 4-Eben Etzebeth (captain), 3-Ruan Dreyer, 2-Malcolm Marx, 1-Steven Kitshoff Replacements: 16-Chiliboy Ralepelle, 17-Trevor Nyakane, 18-Wilko Louw, 19-Franco Mostert, 20-Jean-Luc du Preez, 21-Rudy Paige, 22-Handre Pollard, 23-Damian de Allende.
"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.
"The changes they've made among the forwards tells us they are looking to shore up their lineout and maybe they'll come at us a bit more physically", Read said. "We just needed two points". In both matches Australia we were in it and could have won it, but did not. We can fix some things, like the scrum.More news: Belgium statement on Marouane Fellaini, will miss Liverpool game
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"We saw that we have to be in the right mind set when we play them, otherwise we're vulnerable. In that game we took every opportunity, and tonight we didn't", he said.
"We had them under pressure at times, but you can not give the ball away against New Zealand", Coetzee added. We understand what we do when we do it.
"A performance like this must give us belief - the players will get confidence from this".
"We started the second half at the 50-minute mark so we weren't going to muck around, we were going to get the subs on fairly quickly so that is what we did".
All Blacks midfielder Sonny Bill Williams, on social media, thanks the Springboks and South African fans for a Test match the All Blacks wouldn't forget in a hurry.