Preheat your oven to 425°F.
Trim the ends of the Brussels sprouts and cut them in half. Toss the sprouts in a bowl with a pinch of salt, pepper, and half the olive oil.
Spread the Brussels sprouts on a baking sheet and roast in the oven for about 20-25 minutes until tender and slightly charred, stirring halfway through.
While the sprouts are roasting, season the chicken breast with salt and pepper.
In a small bowl, whisk together the balsamic vinegar, honey, the remaining olive oil, and the minced garlic.
Heat a skillet over medium-high heat and sear the chicken breast for about 3-4 minutes per side until it develops a golden-brown crust.
Pour the balsamic glaze over the chicken in the skillet, reduce the heat, and let it simmer for an additional 4-5 minutes until the chicken is cooked through and the glaze has thickened.
Once the Brussels sprouts are roasted and the chicken is glazed, plate the chicken alongside the Brussels sprouts.
Drizzle any remaining glaze from the skillet over the plate for extra flavor, and serve immediately.