The unified IBF and WBA super-middleweight champion has a long list of fighters all wanting their chance to set up a bout after his impressive win over Mikkel Kessler.
Shumenov, originally from Kazakhstan but now fighting out of Las Vegas, has been out of action for 12 months and is eager to make his return against the Cobra.
The 29-year-old will have to join the queue as James DeGale, Bernard Hopkins, Nathan Cleverly and George Groves have all made it clear that they would like to step into the ring with the Nottingham-born fighter.
Shumenov said: "I would love to fight Carl Froch.
"If Froch wants to fight a champion he can fight me for my title. Mikkel Kessler, Andre Ward too. We are interested in all these guys."