We prove that if an ALE Ricci-flat manifold (M,g) is linearly stable and integrable, it is (L^2-)dynamically stable under Ricci flow, i.e. any Ricci flow starting (L^2\cap L^{\infty}-)close to g exists for all time and converges modulo diffeomorphism to an ALE Ricci-flat metric close to g. This is joint work with Alix Deruelle.