Slow-cooking cabbage with ham allows the cabbage to become soft and juicy and take on the salty, savory flavors of the ham. Ham cooked with cabbage is a favorite Irish dish, and makes a convenient one-pot dinner. Use a slow cooker on a low setting and cook the cabbage, vegetables and ham for five to seven hours, to your preferred doneness. The flavor of crisp, white cabbage blends well with ham; you can also use a combination of cabbages. Consider using half of a white cabbage and half of a red cabbage, making the dish more colorful and rich in antioxidants.
Add the ham chunks, chopped cabbage, onions, carrots and potatoes to a slow cooker.
Sprinkle the mixture with thyme, parsley and pepper and stir lightly.
Pour the chicken stock and water over the ham-and-vegetable mixture.
Slow cook the ingredients on low heat for five to seven hours, covered. The vegetables should be very tender when finished.