Using a vegetable peeler, cut the squash and carrots into ribbons. Place them in a large bowl.
Heat a large skillet over medium-high heat for 1 minute. Add 2 tablespoons of the ghee, let it melt and swirl to coat the pan. Season both sides of the chicken with 1/2 teaspoon of the salt and place the chicken in the pan. Cook for 4 minutes, until the bottom is just turning golden brown. Using tongs, flip the chicken and cook 3 to 4 minutes more, until cooked through. Set the chicken aside on a plate.
Melt the remaining 2 tablespoons ghee in the pan and swirl to coat. Add the squash and carrots and cook for 2 or 3 minutes, or until just soft, tossing occasionally. Remove from the heat, add the basil, lemon juice and remaining 1/2 teaspoon salt and toss.
Serve the chicken with the vegetable ribbons and garnish with parsley.
From The Grain-Free Family Table: 125 Delicious Recipes for Fresh, Healthy Eating Every Day (William Morrow) by Carrie Vitt.