Pat thighs dry, season with salt, pepper, and smoked paprika. Heat oil in a large ovenproof skillet over medium-high.
Brown thighs skin-side down 5–7 minutes until golden; flip and remove to plate. Add potatoes to skillet and cook 4–5 minutes, turning to brown.
Whisk mustards, honey, garlic, and broth; pour over potatoes. Nestle chicken back in, skin-side up.
Transfer skillet to 400°F oven and roast 20–25 minutes until internal temp reaches 165°F and potatoes are tender.
If desired, stir in butter for gloss and sprinkle parsley before serving.