Chinese Communist Party Accountability Act of 2021 This bill requires sanctions on certain members of the Chinese Communist Party (CCP) and officials of Chinese health agencies. The President must impose visa- and property-blocking sanctions on any foreign person who is a CCP official and who is knowingly responsible for or complicit in (1) the disappearances of whistleblowers and citizen journalists in China relating to COVID-19, or (2) limiting free speech and academic freedom in China relating to COVID-19. The President must also impose such sanctions on specified individuals who have leadership positions in China's Center for Disease Control and Prevention and China's National Health Commission. The authority to impose such sanctions shall end when the President certifies to Congress that an independent and unimpeded investigation into the potential origin of COVID-19 from the Wuhan Institute of Virology has taken place.