The phrase can imply a deep appreciation for, or complete immersion in, a new culture.

Cultural Shift

'Go native' sometimes has a negative tone, suggesting abandonment of one's traditions.

Possible Negative

It can also be used for adapting to groups or communities, not just geographical places.

Emphasizes returning to an original, often simpler or purer, condition or way of life.

Can suggest liberation from restrictions and a return to freedom.

Often refers to animals or plants reintegrating into their original habitat or natural state.