Djourou signed a new contract with the Gunners in February that until 2015, but he appears to be behind Thomas Vermaelen, Laurent Koscielny and Per Mertesacker in the Arsenal pecking order.
The Switzerland international started just 14 Premier League games in the 2011/12 season, and speculation is rife that he will move abroad this summer.
Djourou's agent, Flavio Ferraria, says that Napoli could be one possible destination for his client, although he also added that a move to Spain is also an option.
"Can Djourou join Napoli? It's certainly possible, especially as we will be in Italy next week for a series of appointments," Ferraria told Radio Crc.
"At the moment Napoli are not on the list of appointments, but everything is possible. If he leaves the Premier League, then he will play in Italy or Spain.
"I saw my client the other day and he was enthusiastic about both Napoli and Italy in general. So far we have received an offer worth €10m, but it is up for negotiation.
"He wants to play for one of the top five Italian clubs."
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