Dice the chicken breast into bite-sized pieces and toss in a bowl with arrowroot powder, sea salt, and black pepper until evenly coated.
Heat the sesame oil in a large skillet over medium-high heat and sear the chicken until golden brown and cooked through, about 6-8 minutes.
Remove the chicken from the pan and set aside; add the broccoli florets to the same pan with a splash of water and cover to steam for 3 minutes until vibrant green.
While the broccoli steams, whisk together the orange juice, coconut aminos, honey, minced fresh ginger, and minced garlic in a small bowl.
Return the chicken to the skillet with the broccoli and pour the orange sauce over the mixture.
Simmer for 2 minutes, stirring constantly, until the sauce thickens into a glossy glaze that coats the chicken and broccoli.
Transfer to a plate and garnish with red pepper flakes for a hint of heat.