Heat the pan: Place a large, heavy skillet over medium-high heat and add the oil.
You want it hot enough to sear the sausage without smoking.
Sear the sausage: Add the sliced sausage in a single layer. Cook 3–4 minutes per side until browned. Don’t rush this step—browning builds flavor. Transfer sausage to a plate, leaving any fat in the pan.
Sauté the aromatics: Reduce heat to medium.
Add onion and a pinch of salt. Cook 3–4 minutes until softened. Stir in garlic for 30 seconds, just until fragrant.
Add the cabbage: Pile in the sliced cabbage (and optional veggies).
It will look like a lot, but it wilts. Sprinkle with paprika, thyme, red pepper flakes, and a good pinch of salt and pepper. Toss to coat.
Steam and soften: Pour in the broth or water.
Cover the pan for 3–5 minutes to steam the cabbage until it starts to collapse. Stir once or twice to bring the bottom to the top.
Finish and balance flavors: Remove the lid. Return sausage and any juices to the pan.
Cook 3–5 minutes, stirring, until everything is hot and the cabbage is tender-crisp. Splash in the vinegar or lemon juice and taste. Adjust salt, pepper, and acid until it pops.
Garnish and serve: Sprinkle with chopped parsley or chives. Serve as-is or with simple sides like cauliflower rice, brown rice, or roasted potatoes.