Gilbert police were called to the Best Buy near Loop 202 and Williams Field Road about 11:30 a.m. Friday where they found Hall in possession of "several stolen items from Best Buy and a nearby Walmart," according to a Gilbert police spokesman.
Police also found a "personal use quantity of cocaine," according to the spokesman.
Officers released Hall following his arrest on suspicion of shoplifting and narcotics possession, police said.
The story was first reported by the Arizona Republic.
Hall won 32 games at BYU from 2007-2009, more than any other quarterback in school history. His 94 career touchdown passes and 11,365 passing yards ranked second in school history behind only Heisman Trophy winner Ty Detmer.
Hall played in six games with the Arizona Cardinals in 2010, completing 39 of his 78 pass attempts with one touchdown and six interceptions.
He did not play after that season and most recently served as Gilbert High School's offensive coordinator.