Arrest Statistics Reporting Act of 2019 This bill directs U.S. Immigration and Customs Enforcement (ICE) to annually issue a public report regarding the immigration status of certain arrested persons. Specifically, the report shall include each arrested person (1) who has been the subject of an information request from a law enforcement agency to the Law Enforcement Support Center within ICE, or (2) whose information has been forwarded under the information sharing program between the Department of Justice and the Department of Homeland Security. For each person, the report shall include (1) the person's immigration status, (2) the person's nationality, and (3) the crime for which the person was arrested. The Federal Bureau of Investigation shall (1) revise the Uniform Crime Reports to include such information in each arrest report, and (2) publish tables summarizing such information.