Dice the chicken breast into small, bite-sized pieces and season with sea salt and black pepper.
Finely chop the broccoli florets into very small pieces and grate the fresh ginger and garlic.
Heat the avocado oil in a large non-stick skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet in a single layer and cook undisturbed for 3 minutes to develop a golden crust, then toss and cook for another 2 minutes.
Push the chicken to one side of the pan and add the broccoli, ginger, and garlic to the empty space, sautéing for 2 minutes until the broccoli is bright green.
Add the cooked jasmine rice to the pan, breaking up any clumps, and stir-fry with the chicken and vegetables for 3 minutes until the rice begins to toast.
Create a small well in the center of the mixture, crack the egg into it, and scramble quickly until just set before folding it into the rice.
Remove from heat and stir in the tamari and toasted sesame oil, tossing well to coat everything evenly.
Garnish with sesame seeds and serve immediately while hot and fragrant.