The two nations meet at Eden Park on Saturday, the Irish returning to the ground where they defeated the Wallabies 15-9 last September for the first of their three Test matches against the All Blacks.
The Leinster full-back said: "[Saturday] is our best chance because it is our next chance. And if the first Test doesn't go our way then the one after that will be our best chance again after that."
Kearney, who won the European Player of the Year award after an impressive season with Leinster and Ireland, is looking forward to the weekend encounter in Auckland.
He said: "It was a huge occasion for us to turn over Australia in a World Cup.
"As players, we always believe that we can match it with the best teams in the world when we turn up and we play good rugby.
"As a player and as a team, you have to believe that."
Kearney added: "There wasn't a huge element of surprise for us [afterwards] as a group of players. What's important for us is that we keep trying to reproduce that form.
"We set a bar there in that game, a standard, and it is important for us to keep matching that."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.