Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Prepare the vegetables by cutting the red bell pepper into one-inch strips and slicing the carrots into thin rounds.
In a small mixing bowl, whisk together the olive oil, minced garlic cloves, dried rosemary, dried thyme, sea salt, and black pepper to create the herb rub.
Place the chicken breast, broccoli florets, carrots, and bell pepper strips onto the prepared baking sheet.
Drizzle the garlic-herb oil over the chicken and vegetables, using your hands or a spatula to toss everything until thoroughly and evenly coated.
Spread the ingredients out into a single layer on the pan, ensuring the chicken breast has enough space around it to roast properly.
Roast in the center of the oven for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender with slightly charred edges.
Remove from the oven and let the chicken rest for 5 minutes before slicing it into strips and serving alongside the roasted vegetables.