The 27-year-old, who signed a new contract with the Hammers this week, was omitted from the squad for the friendly with Germany, with Portsmouth veteran David James handed a return in his place.
"I think my chances are slim," said Green. "David James is back in the squad, Scott Carson will be playing at Aston Villa at some point and Robbo has been a permanent fixture.
"Ben Foster will also be coming back from injury, so really I'm fifth or sixth in line.
"There's enough competition for me at West Ham and if we have some success here then that may contribute towards it, but I can't control who gets picked for the England side. What I can control is to continue playing for West Ham.
"I'm playing at the moment and if I carry on doing so, maybe it will happen, but while everyone else is fit and playing I can't see many chances coming along.
"It's frustrating but it's not something I can control. It happens in football, sometimes it's better just to accept it."
