Tottenham and Everton are among Premier League clubs to have been linked with the Russian.
"There is interest from four clubs in England but painstaking work is ahead. We need to discuss everything, to weigh the pros and cons, then we can talk specifics," Oleg Artemov told Sovsport.ru.
"Soon in the new year, the transfer window will open and we will have some clarity. I have always had a desire for 'Pasha' to play in England. In principle it suits him, in England he will be able to show his quality."