City and Barcelona are chasing Agger, with the Premier League champions believed to have seen two bids already rejected for the classy Denmark defender.
City are thought to be readying a third bid for Agger. Roberto Mancini is keen to bring in the defender before the close of the transfer window.
It has been suggested Liverpool could be prepared to sell Agger for the right price as they could use the funds to strengthen the squad elsewhere.
Agger, who is away on international duty with Denmark for Wednesday's friendly with Slovenia, claims he is unaware of interest in his services and hopes he can stay at Anfield.
"No, I haven't heard anything," Agger told Ekstra Bladet when asked about his future.
"That is how the club wants to do it. I would prefer to stay.
"I can't imagine playing for other clubs in England. But, you never know if the club prefers to sell me."
Agger has recently had a new tattoo with the initials of the famous Liverpool song 'You'll Never Walk Alone' on his knuckles and the 27-year-old insists it has nothing to do with his current situation.
"It has nothing to do with my current situation," added Agger. "It is a gesture towards the Kop, towards Liverpool and towards the people around the club."
