Prep the oven and pan: Preheat oven to 400°F (204ºC). Lightly grease a braising pan or 9x13 baking dish.
Make the marinade: In a small bowl, whisk together olive oil (1/3 cup), lemon juice (1/4 cup), lemon zest, garlic (4 cloves), salt (1 teaspoon), pepper (1/2 teaspoon), and smoked paprika (1/2 teaspoon) until smooth and fragrant.
Season the potatoes: Add potato wedges (2 pounds) to the baking dish. Toss with half of the marinade until well coated. Lay the lemon slices, oregano (4 sprigs), and rosemary (3 sprigs) over the potatoes.
Season the chicken: Pat chicken thighs dry with paper towels (this helps crisp the skin). Rub the remaining marinade over and under the skin. Nestle the chicken, skin side up, on top of the potato mixture.
Mix the pan sauce: In a small bowl, whisk together chicken broth (1 cup), Dijon mustard (1 teaspoon), and wine (3 tablespoons). Pour this mixture around (not directly on top of) the chicken so the skin stays dry.
Roast: Place uncovered in the oven and roast for 50–60 minutes, or until chicken skin is golden and crisp, internal temp reaches 175°F (80°C), and potatoes are tender.
Optional finish: For extra-crispy skin and caramelized potatoes, broil on high for 2–3 minutes at the end. Don't take your eyes off it at this stage!
Rest + serve: Let the chicken rest for 5 minutes before serving. Spoon the flavorful pan juices over the chicken and potatoes.