The West Ham shot-stopper gifted Clint Dempsey USA's equaliser in their Group C opener, a mistake that cost England two points as they were held 1-1.
Given has backed Green to bounce back from the disappointment as he believes he has proved in recent campaigns that he is a top class keeper.
"He's proved over the last number of seasons how good a keeper he is.
"I wished him well a couple of days ago. I dropped him a txt and stuff.
"I hope he plays to be honest and does really well. It's one of the best football experiences of your life."