The English midfielder made just two starts for Liverpool last season and has subsequently been linked with an exit from the club.
With right-back Neco Williams demanding an exit from Anfield, Carragher believes Oxlade-Chamberlain could learn a new position.
Carragher tweeted: "Could the Ox (Oxlade-Chamberlain) not play there
"Got the pace & engine, he'll be fine on the ball & used to being in crossing areas after spending so long there as a winger."
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