Prepare the Vegetables: Wash and trim the green beans. Peel and cube the potatoes into bite-sized pieces.
Sauté the Onion and Garlic: Heat the olive oil or butter in a large skillet or Dutch oven over medium heat. Add the diced onion and cook until softened, about 3–4 minutes. Stir in the minced garlic and cook for 1 minute.
Add the Green Beans and Potatoes: Place the green beans and potatoes into the skillet. Stir to coat them in the onion and garlic mixture.
Season and Add Broth: Sprinkle with smoked paprika, salt, and pepper. Pour in the chicken or vegetable broth, ensuring the vegetables are partially submerged.