Agger has grown frustrated at Anfield after falling behind Jamie Carragher and Martin Skrtel in the pecking order and has been used out of position at left-back this season. Now the Danish international has hit out at Hodgson's tactical approach.
"I'm here to play football and not to unload [the ball]," Agger told Danish TV station channel 6'eren. "The manager has a philosophy that we're playing football further up the pitch and then you have to play a different kind of football at the back. That's not my style. That's not the type of football player I am. I like to keep the ball on the ground. And I'm going to keep doing that. Whether he'll use me or not, time will tell.
"I guess I'll try to change even though I'm not going to be the player that unloads the ball every single time I get it. I'll fight for my chance. I'll get the chance. I know what I represent and I think he also knows that."
Agger's anger continued in another interview with Danish football show Onside when he again voiced his reluctance to embrace Hodgson's approach.
"Our play has changed, so I'll have to adjust a bit," he said. "But to be honest, I'm not going to adjust 100%. I'm a footballer who keeps the ball on the floor. I'm here to play, not to unload."
Denmark coach Morten Olsen has urged Agger to keep his frustrations under control and remain patient.
"Now Liverpool are in a new phase. I think everyone just needs to get to know each other,'' he told Sporten.dk. "Agger is a central defender but he will play where he is needed, I have no doubt. It's a good thing he gets annoyed when he doesn't play. It is a normal reaction.''