Toast the low carb bread until crisp. Pulse in a blender or crush into fine crumbs.
In a large bowl, combine ground chicken, breadcrumbs, egg, Parmesan, parsley, garlic, seasonings, and lemon zest. Mix gently until just combined. Form into 16 meatballs.
Heat olive oil in a large skillet over medium heat. Brown the meatballs for 6-8 minutes, turning occasionally so they cook evenly. Once the meatballs have reached an internal temperature of 165 degrees, remove and set aside.
In the same skillet, sauté garlic for about 30 seconds. Add chicken broth, cooking wine, lemon juice, and capers. Simmer for 3-4 minutes to allow the flavors to blend and the alcohol to cook off.
Whisk the cornstarch slurry into the pan. Return the meatballs to the skillet and simmer for 3 minutes.