PARIS, Aug 30 (Reuters) - The economies in France and the euro zone should be back to pre-COVID levels in early 2022 or maybe earlier, Bank of France Governor Francois Villeroy de Galhau said on Monday. Villeroy, who is also a European Central Bank policymaker, told BFM Business radio that there was no risk of higher inflation at this stage. (Reporting by Benoit Van Overstraeten and Matthieu Protard; Editing by Toby Chopra) Our Standards: The Thomson Reuters Trust Principles.