“Politics needs to be kept separate from football. In fact, a central tenet of the World Cup is that politics is separate from football,” he told BBC television.
“This is now a FIFA matter… we hope FIFA will investigate,” he said.
FIFA has not yet commented on this incident.
Britain occupied the Falklands in the 19th century, but Argentina claims the islands as part of its territory.
Argentina’s Vice President Victoria Villarruel raised tensions before Wednesday’s start by calling the British “member-grabbers.”