Stopping COVID Scams Act of 2020 This bill provides the Federal Trade Commission (FTC) authority to prohibit unfair or deceptive commercial practices associated with the COVID-19 (i.e., coronavirus disease 2019) public health emergency. In prohibiting such practices, the FTC must consider whether the practice (1) involves goods or services explicitly advertised as related to the COVID-19 emergency, (2) involves goods or services for which consumer demand significantly increased shortly before or during the emergency, or (3) relates to the federal or state response to the emergency. The bill further specifies procedures for the FTC and the states to enforce such prohibitions.