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, a pinch of sea salt, and black pepper on the prepared baking sheet.
Roast the broccoli for 15-20 minutes until the edges are tender and slightly charred.
While the broccoli roasts, cut the chicken breast into 1-inch cubes and toss them in a bowl with the arrowroot powder, remaining salt, and pepper until evenly coated.
Heat the remaining olive oil in a large skillet over medium-high heat. Add the chicken and sear for 5-7 minutes, turning occasionally until golden brown and cooked through.
In a small bowl, whisk together the orange juice, coconut aminos, minced garlic, and grated ginger.
Pour the orange sauce mixture into the skillet with the chicken. Simmer for 2-3 minutes, stirring constantly, until the sauce thickens into a glossy glaze that coats the chicken.
Remove from heat and serve the sticky orange chicken immediately alongside the roasted broccoli.