Preheat your oven to 400°F and line a large rimmed sheet pan with parchment paper for easy cleanup.
Dice the chicken breast into 1-inch bite-sized pieces and peel the sweet potato before cutting it into 1/2-inch cubes.
Place the chicken, sweet potato cubes, and broccoli florets onto the prepared sheet pan.
Drizzle the olive oil over the ingredients and sprinkle evenly with smoked paprika, garlic powder, sea salt, and black pepper.
Toss everything together with your hands or tongs until the chicken and vegetables are well coated in the oil and spices.
Spread the mixture out into a single layer, ensuring the pieces are not overcrowded to allow for proper roasting.
Bake for 20 to 25 minutes, tossing the ingredients halfway through, until the chicken is cooked through and the sweet potatoes are tender and browned.