The French right-back, 30, who has one year left on his contract, admitted he will make up his mind after meeting the Gunners board at the end of the season.
Sagna told Le 10 Sport: "Of course it makes me proud to read PSG are interested. They are a very attractive club.
"Personally I've not been approached by PSG. I don't know if they have contacted my agent or if these are rumours.
"I don't close any door. I could very well extend my contract here in London but equally I could leave at the end of the season. I only have one year left on my contract - we will see.
"At the moment I am fully focused on Arsenal. I don't know what will happen this summer.