Preheat your oven to 400°F and line a large baking sheet with parchment paper for easy cleanup.
Dice the yellow potato into one-inch cubes and slice the carrots into half-inch rounds to ensure they cook at the same rate.
In a large mixing bowl, combine the chicken breast, diced potatoes, and carrots.
Drizzle the olive oil over the mixture and sprinkle with dried rosemary, thyme, garlic powder, sea salt, and black pepper.
Toss everything thoroughly until the chicken and vegetables are evenly coated in the oil and spices.
Spread the mixture in a single layer on the prepared baking sheet, ensuring the pieces are not overcrowded.
Roast in the oven for 15 minutes, then remove the pan and add the broccoli florets to the empty spaces.
Return the pan to the oven and roast for an additional 10 to 12 minutes until the chicken reaches an internal temperature of 165°F.
Let the chicken rest for 5 minutes before slicing to ensure the meat remains juicy and tender.