Layer the vegetables: Add potatoes, green beans, onion, and garlic to the Crockpot.
Add the sausage: Scatter the sausage slices over the vegetables.
Mix the seasoning: In a small bowl, whisk together chicken broth, olive oil, salt, pepper, smoked paprika, and Italian seasoning.
If you like a little heat, add a pinch of red pepper flakes.
Pour and go: Pour the mixture evenly over everything in the slow cooker. No need to stir.
Set it: Cover and cook on Low for 5–6 hours or High for 2.5–3.5 hours, until the potatoes are tender and the green beans are soft but not mushy.
Finish with acid: Stir in lemon juice or apple cider vinegar. This brightens the flavors and cuts through the richness.
Taste and adjust: Add more salt or pepper if needed.
Garnish with chopped parsley and serve warm.