Preheat your oven to 400°F (200°C).
On a large sheet pan, toss the broccoli florets, sliced red bell peppers, and carrots with 0.5 tablespoon of olive oil, a pinch of sea salt, and black pepper.
Spread the vegetables in a single layer and roast for 18-20 minutes until they are tender and show slight caramelized edges.
While the vegetables roast, season the chicken breast on both sides with the garlic powder, dried oregano, and the remaining sea salt and black pepper.
Heat the remaining 0.5 tablespoon of olive oil in a heavy-bottomed skillet or cast-iron pan over medium-high heat.
Place the chicken in the skillet and sear for 6-7 minutes per side, or until the internal temperature reaches 165°F and the exterior is beautifully browned.
Let the chicken rest for 3 minutes before slicing to keep it juicy.
Serve the sliced chicken alongside the roasted vegetable medley.