But his performances have yet to convince Spain manager Luis Aragones, who has a plethora of world-class goalkeepers at his disposal, including Real Madrid's Iker Casillas, Valencia's Santiago Canizares and Liverpool's Pepe Reina.
Almunia's admission could give new England manager Fabio Capello a further option to explore as he looks for a long-term solution to the goalkeeping dilemma.
"I always say I have to wait to see what is happening at that moment, or which goalkeeper England has, or which goalkeeper Spain has, look at the situation and take a decision," said the Pamplona-born keeper.
"It would be a big decision but I wouldn't care if I had two days to take it."
Almunia said he has been overwhelmed by the support of the Arsenal fans ever since he joined the club from Celta Vigo in 2004.
"If you give them a little thing I think they love you, and that's fantastic. That doesn't happen in Spain, no," he said.
"That's because in England the people are more passionate and the people here are more humble.
"If they receive something, even a little thing, they give you double. For a player that's unbelievable."