"It took us a while to calm down, but clear minds prevailed in the end. It is not the way we want to act as a New Zealand team but hopefully we've got there in the end.
"Now we know these things can't happen again in the future."
BBC cricket correspondent Jonathan Agnew said Collingwood made the wrong call in the heat of the moment.
"From the comfort of an air conditioned commentary box or sitting in the crowd, and certainly with access to slow motion replays, that incident looked terrible," he told BBC Radio 5 Live.
"But it was not premeditated and there was no sort of cheating - I think that's an important aspect of it.
"However, the fact is, as soon as Collingwood realised what had happened, and as he did in hindsight, then that fellow should never have been given out.
Paul came into the changing room and it was generally agreed that was pretty big of him and we accept it
Man of the match Scott Styris
"He should have withdrawn the appeal and that should have been it."
Kiwi stalwart Scott Styris, who survived several chances to make a crucial 69, praised Collingwood for the way he handled himself after the match.
"Paul came into the changing room and it was generally agreed that was pretty big of him and we accept it," said Styris, who was man of the match.
Asked whether such a close match had proved the 50-over format still has a place in the schedules, Styris said: "I think the view of the players is that there is plenty of mileage left in all three areas of the game."
Regarding his team's gripping run chase, Styris added: "They were going all out for wickets which I guess is what you have to do defending 245 so it was a case of sucking it up and riding it out towards the end."
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