Cut the cauliflower in half, and remove the core. Cut into florets.
Grate cauliflower using a box grater or pulse in the food processor until riced. If you are using a food processor, be careful not to over process, or you will have mashed cauliflower!
Heat sesame oil in a large skillet or wok over medium-high heat.
Whisk the eggs and season to taste with salt and pepper. Add to the skillet and cook until just set, (About 3 minutes.) Transfer to a plate and cut into large pieces.
Add a tablespoon of oil to the pan and add chicken — Cook for 2 minutes.
Stir in onion, and cook for 2 minutes more.
Add zucchini and mushrooms and cook for 2 to 4 minutes.
Mix in cauliflower rice, eggs, coconut milk, and coconut aminos. Season to taste with salt and pepper. Cook, stirring often, for 5 to 6 minutes more.