The FA chief was giving evidence to the House of Commons' Media, Sport and Culture Select Committee on Wednesday and called for the dissolution.
Football Association chairman Greg Dyke believes FIFA should be scrapped and a new world football governing body established in its place, although he doubts such a move will ever be possible.
Dyke was giving evidence to the House of Commons' Media, Sport and Culture Select Committee on Wednesday in relation to the crisis at FIFA.
Outgoing FIFA president Sepp Blatter and his UEFA counterpart Michel Platini have been suspended from football activity for 90 days as a result of an alleged "disloyal payment" that is being investigated by Swiss prosecutors – casting a shadow over the electoral process to select Blatter's successor.