Given was happy to be part of the Republic of Ireland's win in Armenia after losing his place at Manchester City to Hart.
He was linked with a move away from Eastlands during the summer transfer window, but he remains a City player and is now determined to prove to manager Roberto Mancini that he is the man for the job.
Given said: "For me now the window has closed, that's gone. I have got to put my head down and work hard and try to get back in the team.
"I don't feel I have done a lot wrong since I have been at the club, so I suppose it's about proving the manager wrong and trying to work hard to get back in the team and if I get a chance, taking that and seeing how it goes.
"It is frustrating, but this is life at a big club which can buy as many players as it wants. You have got to be patient.
"But I am delighted to have played tonight and to keep a clean sheet was a bonus as well."