Preheat your oven to 400°F and line a large baking sheet with parchment paper.
Dice the sweet potato into 1-inch cubes and finely mince the garlic and fresh rosemary.
In a small bowl, combine the minced garlic, rosemary, and half of the olive oil, salt, and pepper to create a herb rub.
Place the chicken breast on one side of the baking sheet and coat it thoroughly with the herb rub.
Toss the sweet potato cubes in the remaining olive oil, salt, and pepper, then spread them in a single layer on the other side of the sheet.
Roast for 15 minutes, then add the broccoli florets to the pan, tossing them quickly in any remaining pan juices.
Continue roasting for 10 to 12 minutes until the chicken reaches an internal temperature of 165°F and the potatoes are tender.
Allow the chicken to rest for 5 minutes before slicing to ensure it remains juicy and flavorful.