But no bids have come in for the right-back this month.
However, the Albania international's agent Mario Giuffredi says a move at the end of the season could happen.
Arsenal transfers: Deadline day ins and outs rumours rated
Tue, January 31, 2017
Football Whispers have rated Arsenal's chances in the transfer market ahead of deadline day (1 – unlikely, 5 – likely)
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Football Whispers have rated the likelihood of Arsenal’s deadline day transfer d
“Let's see what happens this summer. At the moment, Hysaj is fully concentrated on Napoli and he wants to finish off this season on a high.
Arsenal and Chelsea want to sign Elseid Hysaj
Hysaj will remain at Napoli until the end of the season
“For me the January transfer market does not exist, all the big moves happen during the summer transfer window.
"Once the season begins, managers want to have players who are focussed.
“The January transfer windows adds extra problems for managers and this is why I don't like it.”