Sports Illustrated says Anzhi are set to invest in the region of â‚¬300 million on the transfer market over the next three seasons.
Football chief Roberto Carlos declared: "Everybody wants to come here now.
"They understand that there is money to be made."
A number of agents, representing some of the top players in Europe, have offered their clients to Anzhi this winter. Among them were Chelsea duo Drogba and Lampard.