Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper for easy cleanup.
Mince the garlic cloves and slice the carrot into thin rounds; chop the red bell pepper into bite-sized pieces.
In a small bowl, whisk together the olive oil, minced garlic, dried rosemary, dried thyme, sea salt, and black pepper.
Place the chicken breast on one side of the sheet pan and the broccoli, carrots, and bell peppers on the other side.
Drizzle the herb oil mixture over both the chicken and the vegetables, tossing the vegetables to ensure they are evenly coated.
Roast in the oven for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender-crisp.
Remove from the oven and let the chicken rest for 5 minutes before slicing and serving alongside the roasted vegetables.