Prepare the Meat Patties: In a large bowl, combine the ground meat, onion, garlic, egg, salt, pepper, paprika, cumin, and half of the chopped parsley. Mix the ingredients thoroughly until well blended. Shape the mixture into small patties.

Cook the Patties: In a large skillet, heat 1 tablespoon of olive oil over medium heat. Cook the patties in batches, about 4-5 minutes on each side, until browned and cooked through. Remove the patties from the skillet and set aside.

Prepare the Potatoes: In the same skillet, add another tablespoon of olive oil (and butter if desired) and heat over medium heat. Add the potato slices and season with a little salt and pepper. Cook for about 10-15 minutes, turning occasionally, until the potatoes are golden and tender.

Combine and Garnish: Return the meat patties to the skillet with the potatoes. Sprinkle the remaining parsley over the dish. Cook everything together for an additional 2-3 minutes to blend the flavors.