Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Toss the broccoli florets with half of the olive oil, half of the sea salt, and half of the black pepper, then roast for 15-20 minutes until the edges are slightly charred.
While the broccoli roasts, season the chicken breast with the remaining sea salt and black pepper.
In a small bowl, whisk together the orange juice, coconut aminos, honey, grated ginger, minced garlic, and arrowroot powder to create the glaze.
Heat the remaining olive oil and the toasted sesame oil in a large skillet over medium-high heat.
Add the chicken to the skillet and sear for 5-6 minutes per side until golden brown and cooked through.
Remove the chicken from the pan and set aside; pour the orange glaze mixture into the same skillet.
Simmer the sauce for 1-2 minutes until it thickens into a glossy glaze, then return the chicken to the pan to coat thoroughly.
Serve the glazed chicken immediately alongside the roasted broccoli.