Avon and Somerset Police said the man had voluntarily attended an interview with officers on Monday.
During the band’s set on the West Holts Stage, the crowd were encouraged to chant “death, death to the IDF [Israel Defence Forces]”.
The force added: “The matter has been recorded as a public order incident while we continue to investigate and consider all relevant legislation.”
Police said they had received legal advice about the investigation in October from the Crown Prosecution Service.
The force said voluntary interviews were “commonly used in investigations where an individual agrees to attend and an arrest is not considered necessary”.
It added: “Attendees are interviewed under caution and have the same legal rights as anybody who is arrested.”
Following their Glastonbury appearance, the band were dropped from a number of festivals and performances including Radar festival, a show at a German music venue and a US tour after their visas were revoked.
The group also recently postponed two UK gigs, including a show in Manchester, following calls by Jewish leaders and MPs for it to be cancelled.
Despite the criticism, the band have also seen support from fans, with their album Humble As The Sun re-entering the charts over the summer.
In a post on X earlier, the Met Police said it was imposing Public Order Act conditions to prevent “serious disruption and serious disorder” ahead of a Bob Vylan concert at the O2 Forum Kentish Town later.
The force said it was aware of two protests in the area planned to coincide with the event.
In September, the ‘s complaints unit ruled a broadcast of the band’s set broke editorial guidelines in relation to harm and offence.
The controversy was one of several high-profile scandals the faced over the summer, but director general Tim Davie remained in post despite calls for him to step down.
However, Davie resigned on Sunday following the publication of damaging memo that raised concerns about some editorial decisions within the corporation, including the way Panorama edited a speech by President Trump.