Dunedin Area Commander, Inspector Dave Campbell said police only attended to a few relatively minor incidents at the stadium.
The five arrests involved two for intoxication, one each for disorderly behaviour and trespass, and an alleged streaker, for pitch invasion under the Major Events Management Act.
St John treated 13 people at the game for minor medical matters, he said.
"It's pleasing to see that people enjoyed the occasion of the first major international to be held in the city's new stadium,'' Insp Campbell said.
Traffic flowed well and there appeared to be no significant issues with traffic congestion around the stadium both before and after the match, he said.
English fans Danielle Harbour and Laurie Smith, both of Manchester, were savouring their team's win and looked rosy as they walked back towards the Octagon.
The atmosphere inside the covered stadium was unrivalled, Ms Harbour said.
"It was fantastic. We were seated way up high out the back, but you could still see everything on the pitch. It all felt so close,'' Mr Smith said.
The Octagon had filled up quickly as spectators made their way to the central city, after exiting the stadium once the final whistle blew.
Inner-city bars had filled quickly with patrons and long queues had formed soon afterwards.
Liquor bans were in place across much of the north and central city, Insp Campbell said.
