Champions League defeat to Bayern Munich has heaped pressure on Wenger.
"We want to do well as a team and do well for him," Ramsey told Arsenal Player.
"He's put all is faith into us and we have to repay him with results. In the last couple of games, they haven't been [results] that this football club should have. We've started off sloppily in the games and ultimately we've paid the price for it."