Season chicken breasts with salt and pepper. Heat olive oil in a skillet over medium heat. Cook chicken breasts until golden brown and cooked through. Remove and set aside.
In the same skillet, add garlic and cook until fragrant. Add coconut cream, nutritional yeast, lemon juice, salt, and pepper. Stir until the sauce thickens.
Add the zucchini noodles to the skillet and toss to coat with the sauce. Cook for 2-3 minutes until tender.
Slice the chicken breasts and serve over the zucchini noodles. Garnish with fresh parsley.