Preheat the oven to 400°F.
Pat the chicken breast dry. Rub with a little olive oil, then season with salt, pepper, rosemary, thyme, and minced garlic.
Peel and dice the sweet potato into 1-inch cubes. Toss with a small drizzle of olive oil, salt, and pepper.
Cut broccoli into florets. Toss with olive oil, salt, and pepper to help create a crispy texture during roasting.
Place the chicken, sweet potato cubes, and broccoli florets on a baking sheet lined with parchment paper, spacing them out evenly.
Roast in the oven for 20-25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender and slightly crisped.
Remove from the oven, allow the chicken to rest for a few minutes, then serve the sliced chicken breast with roasted sweet potatoes and crispy broccoli.