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 slicing the carrots into 1/2-inch rounds and halving the baby potatoes.
Cut the chicken breast into even 1-inch strips or bite-sized pieces to ensure they cook at the same rate as the vegetables.
In a large mixing bowl, combine the extra virgin olive oil, minced garlic, dried rosemary, dried thyme, sea salt, and black pepper.
Add the chicken, broccoli florets, carrots, and potatoes to the bowl, tossing thoroughly until every piece is well-coated in the herb oil.
Spread the mixture in a single layer on the prepared baking sheet, making sure not to crowd the ingredients so they roast rather than steam.
Place the sheet in the oven and roast for 20 to 25 minutes, or until the chicken is cooked through and the potatoes are fork-tender.
Remove from the oven and serve immediately while the chicken is juicy and the vegetables are perfectly caramelized.