Cane, who became the 13th member of New Zealand's 100-Test club, said he received some advice from fellow centurion Aaron Smith at the start of the week when passing on some words he had received when he reached the 100-cap milestone.
"One of them was when people talked about the feat to be grateful and appreciate it rather than brushing it off and trying to stay so focused on the game.
"I did try and enjoy the moments throughout the week, and there were plenty of special ones, mainly from teammates and coaches, and people who I've got a lot of respect for.
"There was a pretty indescribable buzz running out first, leading the teammates down the tunnel and then onto the stadium. Wellington tonight, and throughout the week, even game day in and around town, had the biggest buzz I've felt around the place, and I've played a few Test matches here.
"I'm hugely appreciative of everyone who has helped along the way."
The All Blacks produced a statement with their performance and the first half had been hard.
"We had to work hard for it, we managed to take a few moments in the second half to put some pressure on and the defence, especially in that last 20, was outstanding. They threw everything at us and we kept showing up."
Wellington-based halfback TJ Perenara said it was memorable playing his last Test in New Zealand on his home ground with family and friends able to be involved. He was happy and proud of the performance.
"I've played a lot of games here and have committed a lot of time to the game of rugby and to be able to run off the field and feel the respect and appreciation from my home and my people was a special moment for me."
Cane said coming into the season knowing it would be his last year in New Zealand allowed him to enjoy moments more without worrying about what the next week might bring.
"That's always in the back of your mind as an All Black. When I reflect on my last game on New Zealand soil, I'll have fond memories for sure."
Both players said they would accept the decision of the selectors over whether they are included for the northern hemisphere tour.
Cane said he felt the All Blacks playing leadership is in good hands.
"It's a role that, from my experience, you can't really prepare for. The difference between Super Rugby captaincy, and the All Blacks is a massive, massive leap.
"It does take a little bit of time to work out what works for you, a little bit of time to help empower others and getting everyone steering, or pedalling, in the right direction.
"I think he's [Scott Barrett] the right man for the job. He's surrounded by some really good leaders as well, so that's a bit part of it. And there are some younger guys who will continue to grow over the next couple of years."