Heat a large skillet over medium-high heat. Add the ground beef and cook, breaking it apart with a spoon as it cooks, until it's no longer pink and has begun to brown, about 5-7 minutes. This browning step develops deep, savory flavors through the Maillard reaction—it's the foundation of this soup's richness. Once browned, drain off excess fat using a colander or by tilting the pan and spooning it away, leaving just a light coating in the pan.
While the beef cooks, prepare all your vegetables: dice the onion into 1/2-inch pieces, slice the carrot into 1/4-inch rounds, chop the celery ribs into bite-sized pieces, cut the cabbage into 1-inch chunks, and mince the fresh garlic cloves. Having everything prepped and ready (mise en place) ensures smooth assembly and prevents any ingredients from sitting too long before cooking. I find that fresh-minced garlic added to the slow cooker at the end delivers noticeably brighter flavor than garlic added at the beginning.
Add the diced onion to the skillet with the cooked ground beef and cook over medium heat for 2-3 minutes, stirring occasionally, until the onion softens and becomes fragrant. This brief sauté caramelizes the onion slightly and melds it with the beef flavor, creating a more cohesive base for your soup rather than adding raw onion directly to the slow cooker.
Transfer the browned beef and sautéed onion mixture to your slow cooker. Add the prepared celery, carrot, and cabbage, then pour in the beef broth and add the minced garlic, Italian seasoning, salt, and bay leaf. Stir everything together to distribute the seasonings evenly throughout the liquid. The cabbage will release its own liquid as it cooks, creating a flavorful, broth-rich soup. I like to add the bay leaf whole rather than removing it before serving—it's easier to spot and remove later.
Cover the slow cooker and cook on high heat for 4 hours, or until the carrot is fork-tender and the cabbage has softened but still holds its shape. The high setting speeds the cooking process while maintaining enough heat to meld the flavors together. Before serving, remove and discard the bay leaf, taste the soup, and adjust seasonings with additional salt or Italian seasoning if needed.