Fighting Foreign Influence Act This bill addresses foreign influence in federal elections. For example, the bill (1) requires tax-exempt charitable organizations to disclose in annual reports contributions and gifts exceeding $50,000 received from foreign governments and foreign political parties; and (2) prohibits any individual from registering or otherwise serving as the agent of a foreign principal if the individual at any time served as a Member of Congress, a senior political appointee, or a general or flag officer of the Armed Forces.