The Germany international has been linked with a move to Serie A this summer.
Podolski did not feature in Arsenal's 2-2 draw with Everton on Saturday, increasing speculation around the 29-year-old's possible departure from north London.
"I read in the newspapers that Juventus and Napoli were interested in Lukas," Podolski's agent Ali Pektas said.
"But there has been no approach from either of those clubs.
"I don't know if he will go to Italy in this transfer window. I can't say anything for sure.
"The only certainty is that Lukas has a contract with Arsenal."
Podolski,. who is also a target of Turkish side Galatasaray, joined Arsenal from Cologne in the summer of 2012 and has two years left on his contract.