Begin by gathering and prepping all of your ingredients according to the ingredient list above to have ready and organized for use.
Place a large, deep, non-stick pan over medium-high heat, and add about 1 tablespoon of olive oil. Once the oil is hot, add the smoked sausage medallions, and caramelize them for a few minutes until deep brown. Remove and set aside.
Add butter and another tablespoon of olive oil to the pan, allow to melt together. Add sliced onions, and caramelize until a rich, golden-brown, about 8 to 10 minutes.
Add garlic, a couple pinches of salt, freshly cracked black pepper, paprika, and smoked paprika, and stir to combine with the onions. Sauté until garlic becomes aromatic.
Add sliced potatoes and fold them into the caramelized onions/garlic to coat well. Add chicken stock, stir to combine, then push potatoes down into the stock/onion mixture.
Cover with a lid set askew to allow steam to escape, and simmer on medium-low for about 15 minutes, stirring gently once or twice.
Uncover and allow to simmer for another 10 minutes, until tender and sauce thickened, stirring once or twice.
Add caramelized smoked sausage back, as well as parsley, and gently fold in to incorporate. Drizzle with olive oil and add more salt and pepper if necessary.
Serve with warm, crusty bread if desired.