The Serie A club are on the lookout for defensive reinforcements after Paolo Cannavaro and Gianluca Grava's were handed six-month bans.
Djourou has struggled to get a look-in at Arsenal this season, making only two appearances for Arsene Wenger's side, and has been linked with a move to the San Paolo.
Napoli already have three Swiss players in their squad - Gokhan Inler, Valon Behrami and Blerim Dzemaili - and Djourou's representative, Flavio Ferraria, believes that would him settle in.
However, he revealed Napoli have yet to make an approach for the 25-year-old.
Ferraria said: "Johan could be the ideal player for Napoli, but I have never had any contact with them.
"If Napoli want him, they know where to turn. They must first speak with Arsenal."
Ferraria said that although Napoli had appeal, Djourou would not leave the Emirates Stadium hastily.
He added: "Djourou is closely bound with Arsenal. He has a contract until 2014 and before considering any proposals, it is clear that he should think very well.
"To leave Arsenal, he should find a team as prestigious. Napoli has grown a lot in recent years and we have to not forget that there are many Swiss players that would help him to fit into the group".
Cannavaro and Grava were banned for failing to report former Napoli player Matteo Gianello's involvement match-fixing.
Gianello confessed to attempting to fix a game between Napoli and Sampdoria in 2010, leading to the club being deducted two points on Tuesday.
Don't miss any live and exclusive football coverage this festive season. Click here to visit Sky Sports' Festive Calendar