I think you might be referring to something like Ecocentrism (https://en.wikipedia.org/wiki/Ecocentrism), as opposed to Anthropocentrism which centers around humans.
Yes, I am referring to a nature-centric approach to life and ecocentrism seems to be getting there. However, I don’t agree with the ethical claim in ecocentrism which seems to imply an ecological movement: humans should respect nature and compensate for destroying it.
This very idea gives humans a special role. I believe humans destroying nature is part of nature itself, so motivating ecology using ecocentrism raises a contradiction.
PS: I am not claiming we should destroy nature.