The incident occurred after the All Blacks 41-21 win over Argentina in Mendoza earlier today (local time).
Footage has emerged of a fan running onto the field and past the All Blacks team huddle while being chased by security.
It showed Cane intervening by kicking the invading fan which sent him to the ground.
The person got up straight after, and continued running.
Cane has since apologised on Instagram.
"Tonight, after the game, I made an error in judgement, which was totally out of character for me, I am really sorry."
Cane wrote that he felt awful and is deeply disappointed in himself.
"I am trying really hard to make contact with the person involved to apologise for my actions and make things right. I acknowledge this was not my role and it is out of character of me to act in such a way."