Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper for easy cleanup.
Peel the carrots and slice them into 1-inch thick diagonal rounds to ensure even roasting.
In a small mixing bowl, whisk together the olive oil, maple syrup, sea salt, black pepper, and dried thyme until well combined.
Place the chicken breast and sliced carrots onto the prepared baking sheet and drizzle the maple mixture over them, tossing thoroughly to coat.
Roast in the center of the oven for 20 to 25 minutes, or until the chicken is cooked through and the carrots are fork-tender.
During the final 5 minutes of roasting, scatter the chopped pecans over the carrots to allow them to become fragrant and toasted.
Remove from the oven and let the chicken rest for 5 minutes before slicing it into strips and serving alongside the glazed carrots.