FIFA president Sepp Blatter concedes it is unlikely Great Britain will be represented at future Olympic football tournaments.
Team GB's women's team played in their first-ever competitive match at Cardiff's Millennium Stadium on Wednesday, the opening event of the London 2012 Games.
The men's side will begin their football campaign on Thursday, the first time Britain has had a men's football team at the Olympics since 1960.
The two teams were created to mark London's hosting of the games as they automatically receive a place in the football tournament.
However, the move was met with resistance from the Football Associations of Wales, Scotland and Northern Ireland for fear it would affect their autonomy in future competitions.
No players from Northern Ireland and Scotland were included in Team GB manager Stuart Pearce's final 18-man squad as a result.
Blatter believes it is that opposition from the Home Nations that would make future participation difficult.
"This is a wish and a legitimate wish of the British Olympic Association because they want to have a football team," he said.
"But this is quite a difficult task I can tell you. The four British associations would have to play a preliminary round because the qualification is the European Under-21 Championship.
"Everything is possible but this would need a different approach and you have seen the difficulties they have already had to field a combined team here in London.
"So for the football family, and especially the four associations and UEFA, I don't think it is likely to be done."
Blatter, who was present in Cardiff to see Team GB beat New Zealand 1-0, believes the match was a huge step for the advancement of the women's game.
"It is historical," he added. "It is the first event of this Olympics and it's significant in the development of women's football which has only been in the Olympic programme since 1996.
"It is good for the motherland of football where the game was first organised and for the Olympics to be opened by the team of Great Britain.
"They have a good team - I have followed the development of the women's team and England did well in the women's World Cup."
The 76-year-old has also praised London's preparations for the games after visiting the capital, even admitting he voted for London's bid back in 2005.
"From what I have seen in London, I have to say the ambience and the Olympic spirit is more tangible than when I was in Beijing - maybe because Beijing is so huge.
"I have a good feeling for London and I have been well received by everybody here."
Asked to confirm whether he had voted for London in 2005, he said: "You should never disclose your votes.... but I voted for the winner."