Slice the smoked sausage and cut the potatoes into evenly sized pieces so they cook evenly in the slow cooker. Chop the onion and bell pepper, then mince the garlic before combining everything in a large bowl with olive oil and seasonings.
Transfer the seasoned mixture into the crockpot and pour chicken broth around the sides. Spreading the ingredients evenly helps the potatoes cook consistently while allowing the sausage flavor to distribute throughout the dish.
Cover and cook on low for 5–6 hours or high for 3–4 hours until the potatoes are fork tender. Avoid opening the lid often because the trapped heat is essential for proper slow cooking.
Sprinkle shredded cheddar cheese over the top during the final 10 minutes of cooking. Allow the cheese to melt completely before serving so it blends smoothly into the hot potatoes and sausage.
Finish with chopped parsley and let the dish rest briefly before serving. The short resting time helps the broth settle and gives the potatoes a more satisfying texture.