Cut the chicken sausage into rounds, quarter the baby potatoes, and dice the onion.
Place the chicken sausage, potatoes, onion, frozen green beans, and minced garlic in the slow cooker. Pour the broth over the top, then season with salt and pepper to taste.
Set your slow cooker to low and cook for 5 hours. By the end of the cooking time, the potatoes will be tender, and the sausage and vegetables will have soaked up all the savory flavors.
Let the dish cool slightly and serve. Don't forget to cut the sausage smaller for toddlers!