MediaSet claim the Gunners have tabled an offer of around £10m for the Algeria international who played in two of his nation's four World Cup group games last summer.
The 24-year-old made 21 Serie A appearances for the Naples side last season but was not always first-choice with 10 of those outings beginning from the bench.He moved to Serie A in January 2014 and has spent a season-and-a-half with Napoli.
He made 20 league starts last term and was a regular in the Europa League.
Arsenal already boast Kieran Gibbs and Nacho Monreal at left-back but the later has been linked with a return to Spain.
"I don’t close the door," he said.
“If we can find any player who can strengthen the squad then we will.
"We have strengthened the squad already
and I believe part of the success of the team is down to the level of cohesion.
Arsene Wenger isn't the
only coach interested in rising asset Ghoulam, however, as David Amoyal of
Gianluca Di Marzio revealed Real Madrid and Paris Saint-Germain are also
intrigued in a summer pursuit:
Monreal became the
Gunners' first-choice left-back last season ahead of Kieran Gibbs, starting in
26 of his 28 Premier League appearances.
Despite Athletic's interest in cutting a £7 million deal, Wenger
won't be cashing in on Monreal this summer, according to the Mirror's John Cross, who adds the Spaniard may even sign a new contract.
Ghoulam started only 11 Serie A matches last season, but he is
attracting interest from some of Europe's biggest outfits as a wing-back
capable of impressing in attack, notching four assists in 2014-15.
It's likely Monreal's immediate future will have a direct impact
on Ghoulam's potential future as an Arsenal player.