Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Trim the ends off the Brussels sprouts and cut them in half lengthwise.
In a mixing bowl, toss the sprouts with the extra virgin olive oil and half of the sea salt and black pepper.
Spread the sprouts in a single layer on the baking sheet and roast for 20-25 minutes until they are tender and the outer leaves are crispy and charred.
While the sprouts roast, season the chicken breast evenly with garlic powder and the remaining sea salt and black pepper.
Heat a non-stick skillet over medium-high heat and sear the chicken breast for 6-7 minutes per side, or until the internal temperature reaches 165°F.
During the last 5 minutes of the Brussels sprouts roasting, place the prosciutto slices directly on the baking sheet to crisp up.
Remove the sprouts and prosciutto from the oven; crumble the crispy prosciutto into bite-sized pieces.
Slice the cooked chicken breast and serve it alongside the roasted Brussels sprouts.
Finish the dish by drizzling the balsamic glaze over the chicken and sprouts before serving.