Hesson was bitterly disappointed with the decision third umpire Nigel Llong reached that offered Australian Nathan Lyon a reprieve during the day-night test in Adelaide late last month.
Hot Spot footage clearly showed Lyon had hit the ball but he was given not out. New Zealand Cricket asked the ICC for a ''please explain''.
The ICC ruled an error of judgement had been made but said the correct process had been followed.
''We've been given a fairly clear response from the ICC, which is what we were after,'' Hesson said.
''These things happen in the game. We were obviously disappointed but we will move on.''
It is just as well because the English umpire will officiate during the two-test series against Sri Lanka beginning at the University Oval in Dunedin next week.
Llong's decision was a key moment in the match but perhaps not the game's defining moment.
''The game moved on and had plenty of other ebbs and flows and, unfortunately, we weren't able to get it over the line. But I was very proud of the way the guys fought to the end.
''I think we learned during the last two tests that we are very much the equal of our opposition. We had chances to win the second and the third test which showed that we are not that far away.
''There were a couple of crucial moments that did not quite go our way. That is something we will look back on. We have to seize those moments a little bit better.''
The route to improvement starts Thursday with the first test against Sri Lanka.
The tourists are missing some of the big names they have boasted in the past, with star batsman Kumar Sangakkara the most recent loss to retirement. His absence has stripped the top order of both experience and class.
''They still have enough quality players. I mean, Angelo Mathews is in the [ICC] World XI, so he is obviously pretty good.
''Sri Lanka traditionally have a lot of guys who go out and play with a bit of flair and they've got that throughout the middle order.
''[Left-arm spinner Rangana] Herath is a world-class player as well who just seems to get better with age. And their seam bowling attack is probably as good as it has been for a long time, so we're certainly not underestimating Sri Lanka.''
Hesson has kept faith with the same group of players despite concerns about opener Martin Guptill and off-spinner Mark Craig. Neither had a good tour of Australia.
''I think at the end of every series you've always got one or two players that have not performed as well as you would have liked. But clearly, over the last eight series we have played some good cricket, so we don't want to jump to conclusions and make massive changes.
''That is something, as a selection panel, we haven't done for a while and it has obviously showed some good results for us.
''Those two players have done really well for us in the past and I'm sure they will make a contribution in the next couple of tests.''
Hesson felt Guptill's confidence at test level was not where it needed to be and the doubt had ''manifested itself'' in some technical issues.
''Martin needs to work on transferring his weight through the ball and that is something he is spending a lot of time on.''
As far as Craig goes, Hesson said the team accepted he would go for runs because he was an attacking off-spinner.
''The thing in Australia was Mark was not as consistent as he has been in the past. There is a couple of things he is working on to fix that.''
