Preheat a stainless steel pan over medium heat. I used this pan. Add butter.
When butter has melted, add cabbage. Cook cabbage stirring frequently until slightly softened,about 5 minutes. Stir in the sugar and the star anise.
Add the red wine vinegar. Bring to a simmer, then turn heat to low. Cook until cabbage is tender, stirring frequently, until cabbage is tender, about 25-30 minutes.
Remove from heat. Taste and adjust seasoning with salt and pepper if desired.