Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Chop the red potato into 1-inch cubes and slice the carrots into rounds.
In a large mixing bowl, whisk together the olive oil, lemon juice, minced garlic, dried rosemary, dried thyme, sea salt, and black pepper.
Place the chicken breast, cubed potatoes, carrots, and broccoli florets into the bowl and toss thoroughly until everything is evenly coated with the herb mixture.
Spread the chicken and vegetables in a single layer on the prepared baking sheet, ensuring they are not overcrowded.
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 caramelized.
Remove from the oven and let the chicken rest for 5 minutes before slicing it into strips to serve alongside the roasted vegetables.