Criminal Antitrust Anti-Retaliation Act of 2019 This bill prohibits employers from retaliating against certain employees who report criminal antitrust violations to the federal government. Among other things, the bill sets forth provisions that authorize an employee to seek relief by filing a complaint with the Department of Labor or to bring an action in U.S. district court if the individual alleges discharge or other discrimination by an employer who violates the prohibition against retaliation.