FIFA vice-president David Gill and Germany's Wolfgang Niersbach have called for an emergency meeting of the world governing body's executive committee.
Gill, who is the former chief executive of Manchester United, has called for the meeting after FIFA president Sepp Blatter, UEFA president Michel Platini and FIFA general secretary Jerome Valcke were given 90-day suspensions by the Ethics Committee.
Blatter, who is due to stand down from his role next February, has been banned from all football-related activity after criminal proceedings were opened against him in relation to a "disloyal" £1.3m payment handed to Platini in 2011.
This afternoon, the English Football Association, who continue to back Platini for the FIFA presidency, said in a statement: "This is an extremely disappointing day for football. We trust the FIFA Ethics Committee will conduct the investigations in an independent, robust and timely manner. As we said last week, there are key questions that have arisen in the past month that must be answered by those concerned.
"This important process, along with the investigation by the Swiss Attorney General, should not be allowed to affect the need for urgent change at FIFA. Our over-riding concern has always been for full and transparent reform as soon as possible and this remains the FA's priority.
"David Gill, the British member of the FIFA executive, along with Wolfgang Niersbach, the German representative, have today called for an emergency meeting of the FIFA executive to discuss this morning's events. They are conscious that both the president and general secretary of FIFA are currently suspended.
"We also understand there will be a meeting of the 54 UEFA nations as soon as next week. The FA committed this summer to supporting Mr Platini in his bid to become the next president of FIFA.
"At the FA board meeting last week, we decided that remained our position while inquiries into certain allegations were being investigated. We now await the results of both the Ethics Committee inquiry and the investigation of the Swiss Attorney General. We note that Mr Platini has issued a strong statement protesting his innocence."
Issa Hayatou has been appointed as acting president of FIFA following Blatter's suspension.