The defender struggled for first-team chances this season after falling behind Mamadou Sakho and Martin Skrtel in the pecking order, but insists he is not planning on leaving yet
While the club challenged for the Premier League title, Agger was often overlooked for a starting spot in favour of Mamadou Sakho and Martin Skrtel, stating Rodgers did not feel he was "good enough".
Agger stopped short of confirming any plans to leave Anfield the summer but warned he would not be content to be a substitute next season.
Asked about being benched for the crucial late fixtures against Chelsea and Manchester City, he told Ekstra Bladet: "It definitely wasn't great. But I don't make the decisions. I think it is because the manager doesn't think that I'm good enough.
"[My future at Liverpool is] up to the manager. I can't go and put myself on the team sheet.
"I'm no-one's third choice."
Agger moved to Liverpool in 2006 from Brondby and has made 232 appearances during his time with the club - winning the FA Cup and the Capital One Cup.