Protect America's Statues Act of 2020 This bill makes certain jurisdictions ineligible for historic preservation grants or fixed guideway capital investment grants. Ineligible jurisdictions are those with any law, regulation, policy, or procedure within its control in contravention of federal criminal law relating to the destruction of veterans' memorials or rioting. The Department of the Interior may not award historic preservation grants to ineligible jurisdictions. An ineligible jurisdiction awarded a grant in the fiscal year in which this bill is enacted or after must return 75% of the grant amount. Interior may not approve a fixed guideway capital investment grant for a project in an ineligible jurisdiction. Any obligation or commitment made under a fixed guideway capital investment grant may be revoked if the project is in an ineligible jurisdiction. The Department of Justice shall annually submit to Interior and Congress a list of the jurisdictions that are ineligible.