Add the avocado oil to a large skillet with a deep lip and heat over medium-high. Add the onion and sauté, stirring occasionally, until onion has softened and begins to turn translucent. Stir in the chopped cabbage to the skillet - this will likely overflow the skillet at first. Stir as best you can, then cover. Cook until cabbage has wilted and begins cooking down, stirring occasionally, about 3 to 5 minutes.

Remove the cover and add the remaining ingredients, and stir well. Continue cooking until cabbage begins turning golden-brown around the edges and begins sticking to the skillet, about 5 to 8 minutes. Serve alongside your favorite entrée and enjoy.