Begin by placing the cabbage wedges in the bottom of your slow cooker, creating a base for the stew.
Layer the sliced smoked sausage evenly over the cabbage.
Pour the diced tomatoes over the sausage and cabbage, spreading them as evenly as possible.
Add the chicken broth, making sure most of the ingredients are submerged.
Cover the slow cooker and cook on low for 6–8 hours, or on high for 3–4 hours, until the cabbage is tender and the flavors have melded together.
Before serving, stir gently to combine the cabbage, sausage, and tomatoes, allowing the flavors to distribute throughout the stew.
Serve hot, optionally with a slice of crusty bread or over cooked rice for a complete meal.
Enjoy!