Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Peel the carrots and slice them into 2-inch batons or rounds of equal thickness for even cooking.
In a medium bowl, whisk together half of the olive oil, the maple syrup, half of the sea salt, half of the black pepper, and the fresh thyme leaves.
Toss the carrots in the maple mixture until thoroughly coated, then spread them in a single layer on the prepared baking sheet.
Roast the carrots for 20 to 25 minutes, tossing halfway through, until they are tender and the edges are caramelized.
While the carrots roast, season the chicken breast on both sides with the remaining sea salt and black pepper.
Heat the remaining olive oil in a skillet over medium-high heat. Once hot, add the chicken breast and sear for 6 to 7 minutes per side until the internal temperature reaches 165°F.
Remove the chicken from the pan and let it rest for 3 minutes before slicing.
Serve the sliced chicken alongside the warm, sticky maple-glazed carrots.