Oatly products sold in the US are gluten-free! They're advertised as having no gluten (which the FDA considers a synonym for gluten-free), and to drive that point in, their packaging also includes the Certified Gluten-Free mark from GFCO. One way by which Oatly ensures they remain gluten-free is by sourcing oats specifically for the purpose of manufacturing non-gluten oat milk. They get their oats from Grain Millers, which mechanically sorts their oats to avoid cross-contamination.