Cut the chicken breast into bite-sized cubes and season evenly with sea salt and black pepper.
In a small mixing bowl, whisk together the coconut aminos, toasted sesame oil, raw honey, minced fresh ginger, and minced garlic to create the teriyaki base.
In a separate small ramekin, stir the arrowroot powder into the water until a smooth slurry forms.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet and sauté for 5 to 7 minutes, stirring occasionally, until the pieces are golden brown and cooked through.
Add the broccoli florets to the skillet along with a tablespoon of water; cover with a lid for 2 minutes to lightly steam the broccoli until it is bright green.
Remove the lid and pour the teriyaki sauce over the chicken and broccoli, tossing to coat.
Stir in the arrowroot slurry and simmer for 1 minute until the sauce thickens into a glossy glaze.
Serve the teriyaki chicken and broccoli immediately over the warm, fluffy jasmine rice.