Friedman said: "We're in advanced discussions with Benedict Cumberbatch about playing Hamlet, and we're at the stage of sorting out schedules concerning him and the director Lyndsey Turner. Key to those talks is West End theatre availability, or availability of a non-traditional theatre space to present the play."
Cumberbatch's previous stage credits include Frankenstein and After the Dance at the National, and Hedda Gabler, which transferred from the Almeida Theatre to the West End.
His TV and film credits include Star Trek, Tinker Tailor Soldier Spy and the title role in popular BBC series Sherlock.
If he does play Hamlet, he'll become the latest in a plethora of big names to tackle Shakespeare's biggest role in recent times. Others include Michael Sheen (Young Vic), Rory Kinnear (National), John Simm (Sheffield Theatres) and Jude Law (Donmar West End).
See also: 20 Questions with Benedict Cumberbatch