The prolific Uruguayan has agreed to join Barcelona on a five-year deal, but will be unable to play at the start of the season due to his four-month ban for biting.
Last season, the 27-year-old scored 31 Premier League goals for the Reds, helping them finish just two points behind champions Manchester City in the table.
"Players come and go so that's natural," the Liverpool Echo quotes Agger as saying. "Money has a lot to say in football so the move is natural. Someone else has to take over."