Preheat oven to 400°F and line a large baking sheet with parchment paper for easy cleanup.
Peel and slice the carrots into 1-inch diagonal pieces and cut the chicken breast into uniform 1-inch cubes.
In a medium mixing bowl, whisk together the extra virgin olive oil, maple syrup, balsamic vinegar, sea salt, black pepper, and garlic powder.
Add the carrots and chicken to the bowl and toss thoroughly until every piece is well-coated in the glaze.
Spread the mixture onto the prepared baking sheet in a single layer, ensuring pieces are not overcrowded.
Roast for 20 to 25 minutes, stirring once halfway through, until the chicken is cooked through and the carrots are fork-tender.
Sprinkle the pecans over the sheet pan during the final 5 minutes of roasting to toast them until fragrant.
Transfer to a plate and drizzle any caramelized juices from the pan over the dish before serving.