Preheat the oven. Set it to 425°F (220°C).
A hot oven is key for crisp skin and caramelized potatoes.
Pat the chicken dry. Use paper towels to remove moisture from the skin. Dry skin = crisp skin.
Prep the potatoes. Cut into thick wedges, about 1 to 1.5 inches wide, so they cook at the same rate as the chicken.
Make the lemon-garlic marinade. In a bowl, combine lemon juice, lemon zest, olive oil, garlic, oregano, thyme, Dijon, red wine vinegar, chicken broth, salt, and pepper. Whisk until emulsified.
Season and arrange. On a large rimmed sheet pan or roasting pan, toss the potatoes with half the marinade. Nestle the chicken thighs on top and pour the rest of the marinade over the chicken.
Make sure some marinade gets under the skin for extra flavor.
Roast. Place the pan on the middle rack and roast for 35–45 minutes, until the potatoes are tender and the chicken reaches 165°F (74°C) in the thickest part. The skin should be golden and crisp.
Broil for extra color. If needed, broil for 2–3 minutes to brown the chicken skin and caramelize the edges of the potatoes. Watch closely to avoid burning.
Rest and finish. Let the chicken rest for 5 minutes.
Spoon the pan juices over everything. Garnish with chopped parsley and serve with lemon wedges.