Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper for easy cleanup.
In a small mixing bowl, whisk together the olive oil, maple syrup, apple cider vinegar, sea salt, black pepper, and dried thyme until well combined.
Place the sliced carrots and the chicken breast onto the prepared baking sheet, ensuring they are spread out in a single layer.
Drizzle the maple herb mixture over the chicken and carrots, then use your hands or tongs to toss everything until thoroughly coated.
Roast in the center of the oven for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the carrots are fork-tender.
During the last 5 minutes of roasting, sprinkle the chopped pecans over the tray to allow them to toast until fragrant and golden.
Remove the tray from the oven and let the chicken rest for 5 minutes before slicing it into strips and serving alongside the glazed carrots.