James Rodriguez would be allowed to leave Everton if the right deal presented itself to the Merseyside club.
The 30-year-old Colombia international arrived at Goodison Park on a free transfer last summer, reuniting for a third time with then-manager Carlo Ancelotti.
He signed a two-year deal, with an option of a third, and became the highest paid player in Everton's history.
But following Ancelotti's departure to Real Madrid earlier this summer, Rodriguez has become unsettled on Merseyside and spoke about needing to play where he is wanted only last week.
Rodriguez said on his Twitch account: "I would like to play wherever they want me, I already played in all the leagues; I am missing Italy, it would be a good option."
Everton hope to sign more players before the summer transfer deadline and, should Rodriguez leave, it would free up much-needed funds for Rafa Benitez to reinvest in his squad.
A move for Rodriguez is not imminent, however, and he is expected to feature in Everton's final pre-season game against Manchester United on Saturday at Old Trafford.
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Desmondeyum
250
The fall off of James Rodriguez is the saddest thing to witness. This guy was a star at Brazil 2014. Everybody wanted to sign him and his career has been downhill since.
Desmondeyum
169
Technically James Rodriguez is a perfect transfer. He has quick feet, creativity, rocket of a shot, set piece ability. But his work rate and injury history make it a real bummer.