Eric Garner Excessive Use of Force Prevention Act of 2021 This bill modifies the criminal civil rights statute that prohibits the deprivation of rights under color of law. Currently, the second prong of the prohibition bars the application of different punishments, pains, or penalties based on an individual's alien status, color, or race. This bill specifies that the application of any pressure to a person's throat or windpipe, the use of maneuvers that restrict blood or oxygen flow to the brain, or carotid artery restraints that prevent or hinder breathing or reduce intake of air (e.g., a chokehold) constitute a punishment, pain, or penalty.