Last month England coach Fabio Capello said Beckham's international career was over, though the Italian suggested on Thursday that the midfielder could still force his way back into the squad.
"I prefer to choose the younger players, but always the door is open for all the players."
Beckham's last appearance for England was as a substitute in October 2009 in a 3-0 World Cup qualifying win against Belarus, but for now he is concentrating on his rehabilitation, which is proving hard work.
"At the moment, you have good days and you have bad days," revealed Beckham, who joined LA Galaxy in 2007.
"You wake up with a lot more pain in your body when you're in pre-season. I have to do it because I need to get as close to match fitness as possible."
He added: "When you do go through a trauma like this, an injury like this, there's always going to be that thing in the back of your mind saying, 'The last time I did that motion was when it actually snapped'.
"Cutting and turning and pushing off is still difficult for me, but that's going to come in time."
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