Slice your cabbage in quarters and de-core, then slice into thin strips.
Heat coconut oil over medium heat in a large skillet until melted. Add the grated ginger ginger and sauté for about 1 minute.
Add cabbage and cook stirring frequently for 3-4 minutes, until cabbage starts to soften.
While cabbage is cooking, whisk together the broth, ground ginger (you can leave this out if you prefer a more mild taste, this adds the last super kick of spice and ginger), and coconut aminos. Add this mixture to the cabbage and cook another 3-4 minutes until cabbage is soft.
Serve alongside your main!