Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Trim the ends off the Brussels sprouts and cut them in half vertically.
In a mixing bowl, toss the sprouts with olive oil, half the sea salt, half the black pepper, and all of the garlic powder.
Spread the sprouts in a single layer on the baking sheet and roast for 20 minutes until they begin to soften and brown.
While sprouts roast, season the chicken breast with the remaining salt and pepper, then sear in a non-stick skillet over medium-high heat for 6-7 minutes per side until fully cooked.
Lay the prosciutto slices on the baking sheet next to the sprouts for the final 5 minutes of roasting until they are brittle and crisp.
Remove the tray from the oven, crumble the crispy prosciutto into shards, and slice the chicken into thin strips.
Toss the sprouts with the balsamic glaze in a bowl, top with the chicken and prosciutto, and serve immediately.