Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
In a small bowl, whisk together the extra virgin olive oil, lemon juice, minced garlic, rosemary, thyme, sea salt, and black pepper to create the herb rub.
Peel and dice the sweet potato into 1/2-inch cubes, then place them on the baking sheet and toss with half of the prepared herb oil.
Pat the chicken breast dry with a paper towel and place it on the baking sheet, brushing the remaining herb oil over the top to ensure a crispy exterior.
Roast the chicken and sweet potatoes for 15 minutes.
Remove the tray from the oven, add the broccoli florets to the empty spaces, and toss them quickly in the pan juices.
Return the tray to the oven and roast for an additional 10 to 12 minutes, or until the chicken reaches an internal temperature of 165°F.
Let the chicken rest for 5 minutes before slicing to keep the meat juicy and tender.