Marsh was given out caught and bowled by Matt Henry, only after the incident had been shown on the large screen at the ground and umpire Ian Gould called for a review.
Initially there appeared to have been little reaction from the New Zealand players, other than a half-hearted appeal from Henry.
"The right decision was made in the end," Hesson said today.
"Also a bit has been made that there was no appeal. If you watch (a replay), four of our players appealed at the time. We performed our task which is asking the question. Sure there was a delay, but at the end the right decision was made."
Australian players were furious at the way the decision had been reached - the review not being called until Henry was back at his bowling mark ready for his next ball.
However Hesson insisted relations are good between the teams.
''They're always pretty good. When you have No 1 and 2 in the world, there's always going to be a bit of niggle. That's transtasman rivalry, but both teams agreed the right decision was made."
Hesson described last night's 55-run win, which enabled New Zealand to retain the Chappell-Hadlee Trophy as ''very special".
"We were pretty good through 80 or 90 percent of that series. To win as emphatically as we did last night was a sign of more maturity in the side," he said.
Hesson said the absence of several first-choice players, including first choice seamers Tim Southee and Trent Boult, batsman Ross Taylor and allrounder Mitch Santner, was significant ''and certainly shows the depth in the squad we have."
He was most pleased by the fight New Zealand showed. The collective work of his players, rather than reliance on one or two individuals, was heartening.
"Maybe in years gone by in ome sides you did rely solely on one or two players. We don't do that. We've got a good group of players and anyone on any given day can turn a game and we saw that last night."
The teams travel to Wellington today to prepare for the first of two tests, starting at the Basin Reserve on Friday.
