Arshavin have recently been linked with a move to Juventus, after failing to find his best form again in North London.
“We have had no contact,” Wenger said.
“As soon as a player doesn’t play fantastically well, he is criticised. We all know that. I am very happy with Arshavin.
“I believe he is a great player – he is going through a period where it is more difficult for him at the moment.
“But he works very hard in training – his attitude is fantastic and I am desperate to keep him.
“He played almost every single game since the start of the season and has played for his national team as well. Physically he is a bit less fresh.
“After a breather of a few games he will come back stronger than ever because he works very hard in training.
“As far as I know, I believe he and his wife are happy in London, but what is very important as well is that I am very happy with him.”
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.