Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Peel the sweet potato and cut it into 1-inch cubes, and break the broccoli into bite-sized florets.
Pat the chicken thighs dry with a paper towel and cut them into 1.5-inch pieces to ensure they cook at the same rate as the vegetables.
In a large mixing bowl, combine the chicken, sweet potato cubes, and broccoli florets.
Drizzle with extra virgin olive oil and sprinkle with smoked paprika, garlic powder, sea salt, and black pepper, tossing thoroughly to coat.
Spread the mixture in a single layer on the prepared baking sheet, making sure not to overcrowd the pan so the ingredients roast rather than steam.
Roast for 22-25 minutes, tossing the ingredients halfway through, until the chicken is cooked through and the sweet potatoes are fork-tender.
Remove from the oven and garnish with finely chopped fresh rosemary before serving.