Yes, Kalamata olives are naturally gluten-free. Gluten is a protein found in certain grains such as wheat, barley, and rye, but it is not present in olives, including Kalamata olives. However, when consuming Kalamata olives in processed foods, it's essential to be mindful of any added ingredients or seasonings containing gluten, such as marinades or dressings. For example, Kalamata olives are packed in a malt vinegar mixture which is not gluten-free. Or if Kalamata olives are stuffed, then stuffing could contain gluten. The best way to determine if processed food is gluten-free is to look for a gluten-free label or contained ingredients.