We cut the cabbage into thicker slices for sauteing or you can also cut the cabbage in larger cubes. For thick slices, cut the cabbage in half, and remove the core. Take one half and slice about 1 ½ inches thick slices. If the cabbage is too wide like I used, I cut the longer slices into half later.
In a medium skillet, over medium heat, add some cooking oil and brown the sausages. Remove to a side plate.
In the same skillet add a splash of water to deglaze the pan, if too many browned bits, carefully remove them with a paper towel first. Add the cabbage, ½ cup water or broth for more flavor, salt, pepper, sugar. Stir through and simmer with a closed lid for 10-15 minutes over medium-low heat until the cabbage softens and most of the water evaporated. We don’t want the cabbage too soft, it needs to be slightly crunchy.
Add butter and stir through until melted. Return the sausages and simmer for a couple of minutes more. Serve hot as a main course with some potatoes, rice, or as a side dish. It makes about 2 good-sized side portions.