Pat the chicken breast dry with paper towels and cut into bite-sized cubes.
In a medium bowl, toss the chicken with arrowroot powder, sea salt, and black pepper until each piece is lightly and evenly coated.
Heat the avocado oil in a large skillet or wok over medium-high heat until it begins to shimmer.
Add the chicken to the skillet in a single layer and sear for 5-6 minutes, turning occasionally until the edges are golden brown and crispy.
Remove the chicken from the pan and set aside on a plate.
Add the broccoli florets and sliced bell peppers to the same skillet with a tablespoon of water; cover with a lid for 2 minutes to steam until tender-crisp.
While the vegetables steam, whisk together the orange juice, coconut aminos, grated ginger, minced garlic, and orange zest in a small bowl.
Remove the lid, return the chicken to the skillet, and pour the orange sauce over the mixture.
Stir constantly for 1-2 minutes until the sauce thickens into a glossy glaze that coats the chicken and vegetables.