In a small bowl, mix the melted butter, minced garlic, dried thyme, smoked paprika, salt, and pepper until well combined.
Place the chicken thighs in the center of a large sheet pan. Arrange the halved baby potatoes, sliced carrots, and broccoli florets around the chicken.
Drizzle the garlic butter mixture evenly over the chicken and veggies, ensuring everything is well coated.
Season everything with additional salt and pepper as desired.
Bake in the preheated oven for 35-40 minutes, or until the chicken is cooked through (internal temperature should reach 165°F/75°C) and the veggies are tender.
Switch on the broiler for the last 2-3 minutes of cooking to crisp the chicken skin, keeping a close eye to avoid burning.
Once done, remove from the oven and let it rest for 5 minutes.
Garnish with fresh parsley before serving.
Notes
For extra crispy skin, broil for the last few minutes of cooking.