Anthropocentrism is the view that we humans are the absolutely most significant entity or being in the universe. Things, ideas or other beings only have a value if they are useful to us. Anthropocentrism is hence a very instrumental view, that excludes the idea that anything not human has a value per se.
Other beings and the environment however often are useful, one way or the other, to us humans, and as a consequence an anthropocentrist usually value both other being and the nature, or at least some other beings and some part of the nature.
For a paper on anthropocentric and ecocentric environmental philosophies, and how these relate to preference for eco- and Fairtrade alternatives see "Grankvist, G. (2015). Attitudes towards fairtrade principles and environmental views among the inhabitants of a rural Swedish town. Psychology, 6(13), 1661."