Preheat your oven to 425°F (220°C) and line a large rimmed baking sheet with parchment paper.
Wash and dice the potato into 1/2-inch cubes, and cut the chicken breast into similar bite-sized pieces.
In a large mixing bowl, combine the potatoes, chicken, and broccoli florets.
Drizzle with olive oil and sprinkle with garlic powder, rosemary, thyme, sea salt, and black pepper.
Toss everything thoroughly until the ingredients are evenly coated in the oil and spices.
Spread the mixture in a single layer on the prepared baking sheet, ensuring space between pieces for maximum crispiness.
Roast for 20 to 25 minutes, tossing the ingredients halfway through, until the potatoes are golden-brown and the chicken is cooked through.
Remove from the oven and serve immediately while the potatoes are at their crispiest.