And his previous victims Bernard Hopkins, Mikkel Kessler and Jones Jr all want rematches with the world light-heavyweight number one who is unbeaten in 46 fights in an 18-year professional career.
Froch, who beat Canada's Jean Pascal on Saturday, is keen for his promoter Mick Hennessy to tempt Calzaghe with enough cash to keep him out of retirement.
Calzaghe, though, said: "Carl who? Who's that guy? Nah."
He added that Froch is "long way off deserving a fight with me" and that he has to "join the list".
Froch is not a big box office name for American TV broadcasters HBO, which is willing to come to the UK for a Calzaghe career finale in Cardiff.
So, if Calzaghe did continue, it would probably be against a big-name American.
Calzaghe, however, has said he "doesn't like rematches" so that would seemingly rule out a reunion with Jones and Hopkins.
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