Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Trim the woody ends off the Brussels sprouts and slice each sprout in half lengthwise.
In a mixing bowl, toss the halved sprouts with 0.5 tablespoon of olive oil, the garlic powder, and half of the salt and pepper.
Spread the sprouts in a single layer on the prepared baking sheet, ensuring the cut sides are facing down for maximum browning.
Roast the sprouts for 20 minutes until they are tender and the outer leaves begin to brown.
While the sprouts roast, season the chicken breast with the remaining salt and pepper.
Heat the remaining 0.5 tablespoon of olive oil in a non-stick skillet over medium-high heat and sear the chicken for 6-7 minutes per side until the internal temperature reaches 165°F.
In a small bowl, whisk together the balsamic vinegar and honey until smooth.
Remove the baking sheet from the oven, drizzle the balsamic-honey mixture over the sprouts, and toss them gently with a spatula.
Return the sprouts to the oven for an additional 5 minutes until the glaze is bubbly and caramelized.
Slice the chicken breast into strips and serve immediately alongside the hot, crispy Brussels sprouts.