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 into uniform 1-inch cubes and peel the sweet potato, cutting it into smaller 1/2-inch cubes to ensure even roasting.
In a large mixing bowl, whisk together the extra virgin olive oil, turmeric, garlic powder, onion powder, sea salt, and black pepper until well combined.
Add the chicken cubes, sweet potato cubes, and broccoli florets to the bowl, tossing thoroughly until every piece is coated in the golden spice mixture.
Spread the ingredients in a single layer on the prepared baking sheet, making sure not to overcrowd the pan so the vegetables can caramelize rather than steam.
Roast in the center of the oven for 20 to 25 minutes, tossing the medley halfway through, until the chicken is cooked through and the sweet potatoes are tender with slightly crisp edges.
Remove from the oven and let rest for 2 minutes before serving warm.