Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Dice the chicken breast and the peeled sweet potato into uniform 1-inch cubes to ensure they cook at the same rate.
In a large mixing bowl, combine the chicken cubes, sweet potato cubes, and broccoli florets.
Drizzle the extra virgin olive oil over the mixture and sprinkle with garlic powder, smoked paprika, sea salt, and black pepper.
Toss everything together with your hands or a large spoon until the chicken and vegetables are thoroughly and evenly coated with the oil and spices.
Spread the medley in a single layer across the prepared baking sheet, ensuring the pieces are not overcrowded so they roast rather than steam.
Bake for 20 to 25 minutes, tossing halfway through, until the chicken is cooked through and the sweet potatoes are tender and lightly caramelized.