Cut the chicken breast into 1-inch cubes and season evenly with the sea salt and black pepper.
In a small bowl, whisk together the fresh orange juice, orange zest, tamari, rice vinegar, honey, grated ginger, minced garlic, and arrowroot powder until the starch is fully dissolved.
Heat the avocado oil in a large skillet over medium-high heat until it begins to shimmer.
Add the seasoned chicken to the skillet in a single layer and sear without moving for 3 minutes to develop a golden crust.
Flip the chicken and continue cooking for another 3 to 4 minutes until the pieces are golden brown and cooked through.
While the chicken is searing, place the broccoli florets in a steamer basket over boiling water and steam for 4 to 5 minutes until they are bright green and tender-crisp.
Pour the prepared orange sauce into the skillet with the chicken and stir constantly as it bubbles.
Simmer the sauce for 1 to 2 minutes until it reduces into a thick, glossy glaze that thoroughly coats each piece of chicken.
Remove from the heat and serve the glazed chicken immediately over the steamed broccoli florets.