Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper for easy cleanup.
On the baking sheet, toss the broccoli florets and sliced red bell peppers with half of the olive oil, half of the sea salt, and all of the dried oregano.
Spread the vegetables in a single layer and roast for 15-20 minutes until they are tender and the edges are slightly caramelized.
While the vegetables are roasting, season both sides of the chicken breast with the remaining sea salt, black pepper, and garlic powder.
Heat the remaining olive oil in a large stainless steel or cast-iron skillet over medium-high heat.
Place the chicken in the hot skillet and sear for 5-7 minutes per side, or until the exterior is golden brown and the internal temperature reaches 165°F.
Remove the chicken from the skillet and let it rest for 3 minutes to lock in the juices before slicing.
Plate the sliced chicken alongside the roasted vegetables and serve immediately while hot.