The 26-year-old, who has 13 goals in 23 games this season, has also been linked with a move to Everton.
Representative Vadim Shabliy told Ukrainian website SportFile: "Was there interest on the part of Barcelona? There was.
"Andriy has a desire to play in the Premier League. This championship attracts him, he sees himself in it. Everything will depend on the willingness of Yarmolenko."
ClubCall claim the Frenchman is keen on 19-year-old goalkeeper Freddie Woodman, who is reportedly keen to leave when his contract expires at the end of the season.
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Arsene Wenger eyes Newcastle pair
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Anthony Martial could miss Sunday's game against Arsenal with a hamstring injury
While Italian outlet Tuttomercatoweb have linked the Arsenal in a three-way battle with AC Milan and Juventus for Rolando Aarons, who has also entered the final year of his Magpies deal.
And finally, the north London club have been dealt a huge injury boost ahead of Sunday's Premier League clash with Manchester United.
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