Preheat your oven to 400°F and line a large sheet pan with parchment paper for easy cleanup.
Peel the carrots and slice them into 2-inch sticks, then place them on one half of the prepared pan.
Place the chicken breast on the other half of the pan, ensuring there is space between the items.
In a small bowl, whisk together the olive oil, maple syrup, apple cider vinegar, sea salt, black pepper, and dried thyme.
Drizzle the glaze over the chicken and the carrots, using a brush or spoon to ensure the chicken is fully coated and tossing the carrots.
Roast in the center of the oven for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F.
During the final 5 minutes of cooking, sprinkle the chopped pecans over the carrots so they become fragrant and toasted.
Remove from the oven and let the chicken rest for 5 minutes before slicing it into strips to serve with the carrots.