Agent Scott Fisher says the 32-year old has several different options.
"Besiktas? No comment. No we have some possibilities; there are interested teams from different countries," Fisher told sports.ru.
"Andrey is on holiday at the moment so we'll discuss the current situation this weekend. Can he go back to Russia? There's a chance for this. But we have to discuss all possibilities and we have to find out what is the best for Andrey.
"He's still very ambitious. He's a great footballer in a good age and ready to play. Money is not the most important criteria. He's ready for new challenges and he's ready to play."