Born in Winkelman, Arizona, Marquez was an Ensign in the United States Navy during World War II, from 1942 to 1945. He then received a Bachelor of Arts degree from University of Arizona in 1948, and a Bachelor of Laws from the James E. Rogers College of Law at the University of Arizona in 1950. He was in private practice in Phoenix, Arizona from 1950 to 1951, and was an assistant state attorney general of Arizona from 1951 to 1952, and deputy county attorney of Pima County, Arizona from 1952 to 1954. He was an administrative assistant for United States Representative Stewart Udall in 1955. He was a prosecutor for the City of Tucson, Arizona from 1956 to 1957. He was then in private practice of law in Tucson from 1956 to 1980.^[1]

On June 2, 1980, Marquez was nominated by President Jimmy Carter to a new seat on the United States District Court for the District of Arizona created by 92 Stat. 1629. Marquez was confirmed by the United States Senate on June 26, 1980, and received his commission on June 30, 1980. He assumed senior status on July 25, 1991. His seat was filled via the appointment of Judge John Roll. He died on August 27, 2014, in Tucson.^[1]

• List of Hispanic and Latino American jurists

• Alfredo Chavez Marquez at the Biographical Directory of Federal Judges, a publication of the Federal Judicial Center.
• Political Graveyard
• Arizona Daily Star Obituary