Warm the coconut or olive oil in a medium saucepan over medium heat. Add the ground chicken or turkey and cook until browned and fully cooked, breaking it up with a spoon as it cooks.
Stir in the diced carrots and frozen peas. Pour in the chicken stock, then bring the mixture to a gentle simmer. Cook for about 10 minutes, or until the vegetables are tender.
While the broth and vegetables cook, mix the cornstarch or arrowroot powder with the cold water in a small bowl until fully combined and smooth.
Slowly pour the cornstarch slurry into the simmering mixture, stirring constantly. Continue cooking for 3-5 minutes until the gravy thickens to your desired consistency.
Remove the gravy from heat and allow it to cool completely before serving to your dog. You can spoon it over your dog’s regular food for added moisture and flavor.