The Denmark coach is concerned that his captain may grow "frustrated and irritated" without more game time at Anfield, with the Reds open to offers for the centre-back
The 29-year-old has only started 16 Premier League games this term, with injuries playing a part, while Mamadou Sakho and Martin Skrtel have been the preferred pairing, and Goal understands that the Reds are open to offers for the centre-back.
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Barcelona have previously been linked with a move for the Denmark captain and national coach Olsen fears that Agger could grow frustrated without regular first-team football.
"You may ask Daniel about [it]," he told Bold. "He can best gauge how it looks now and, more important, [for] next season.
"But of course he should be playing. Otherwise, I believe we will have a frustrated and irritated captain.
"I hope he will make the right choice."