Bendtner has spent the season on loan at Juventus, but has barely featured for the defending Serie 'A' champions, making just eight first-team appearances.
Injury has not helped his cause, but the Denmark international is yet to score for the Italian side.
The 25-year-old was reportedly offered the opportunity to join Hamburg during the January transfer window, but turned down the move.
Now, Bendtner's agent, Tom Brooks, has told Russian newspaper Izvestia that a number of clubs are keen on signing the striker up next season.
Brooks said: "We've had contact several times with Russian teams. Interest has also been shown by Enlgish and Italian clubs, and Nicklas would like to play regularly in the Champions League."
A number of Russian teams have wealthy owners, and over the past few transfer windows, several of European football's top stars have moved to the country's top flight.
Samuel Eto'o and Willian have joined Anzhi in recent seasons, while Hulk and Axel Witsel now play for Zenit St Petersburg.
Brooks continued: "A large number of talented players have gone to Russia in recent years. If a solid proposal arrives, we will consider it.
Juventus have struggled to find a top goalscorer this season - their top Serie 'A' scorer has just seven goals.