Reports suggest that the 29-year old has become uncomfortable in London and Zenit are hoping he will return to Petrovsky Stadium where he made his name during an 11-year stint.
"With Arshavin it is very simple - we would always welcome him back to the club whether that is now or in the future," Komeev said.
Wenger added: "He will not leave, I'm very happy with Arshavin. As far as I know, he and his wife are happy in London. I'm really happy with him.
"He is a great player. He is going through a period that's a bit difficult at the moment but he works very hard in training and I'm desperate to keep him."