Federal Reserve Transparency Act of 2021 This bill establishes requirements regarding audits of certain financial agencies performed by the Government Accountability Office (GAO). Specifically, the bill directs the GAO to complete, within 12 months, an audit of the Federal Reserve Board and Federal Reserve banks. In addition, the bill allows the GAO to audit the Federal Reserve Board and Federal Reserve banks with respect to (1) international financial transactions; (2) deliberations, decisions, or actions on monetary policy matters; (3) transactions made under the direction of the Federal Open Market Committee; and (4) discussions or communications among Federal Reserve officers, board members, and employees regarding any of these matters.