Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper.
Dice the sweet potato into 1/2-inch cubes and slice the carrots into 1/2-inch thick rounds.
Mince the garlic cloves and finely chop the fresh rosemary and thyme.
In a large bowl, toss the sweet potatoes and carrots with half of the olive oil, half of the garlic, and half of the herbs, salt, and pepper.
Spread the vegetables in a single layer on the prepared sheet pan and roast for 10 minutes.
While vegetables roast, rub the chicken breast with the remaining olive oil, garlic, herbs, salt, and pepper.
Move the vegetables to the sides of the pan and place the chicken breast in the center.
Return the pan to the oven and roast for an additional 20-25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are fork-tender.
Let the chicken rest for 5 minutes before slicing to ensure the juices remain locked in.