The 18 year-old is being scouted by clubs from across Europe, including Championship Millwall.
The Gteborgs-Posten says Borussia Mnchengladbach, VfB Stuttgart, FC Kln, Olympique Lyon and Millwall are all tracking the youngster.
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Magnus Skldmark, technical director at GAIS, said: "Now it is not only Anes that clubs follow, there are many scouts who travel around the Allsvenskan this period and look at players, but we notice a great interest in Anes, clearly.
"It has to do with age and position - in combination with the maturity of his game and the way he has handled himself here during the opening."