The Russian Football Union (RFU) stressed Fabio Capello remains under contract with the national team.
David Beckham is weighing up "a number of serious proposals" from clubs across the world, but will not be rushed into a decision on his future.
The 37-year-old is taking his time to make a final decision on what is set to be the last move of his career, having been linked with clubs in England, France, China and Australia.
A spokesman for Beckham said: "There are a number of serious proposals on the table from a host of clubs across the world.
"David is no hurry to make a decision, the key is making the right one as he has always done successfully in his career.
"It's early days in the process. David is enjoying spending quality time with his family over the holidays."
The former England captain ended his five-year stint with Los Angeles Galaxy on December 1 after winning a second MLS Cup.
Beckham, formerly with Manchester United and Real Madrid, has been strongly linked with a move to Monaco in the French second division.
They are coached by former Chelsea boss Claudio Ranieri, who has previously stated his interest in bringing Beckham to the club, and backed by wealthy Russian owner Dimitri Rybolovlev.
It is understood reports in France that Beckham has priced himself out of a move to Monaco are premature.
Monaco are one point behind Ligue 2 leaders Nantes at the halfway point of the season.