Bosnich, who had spent time at Manchester United as a youngster, was Ferguson's choice to replace Peter Schmeichel in 1999, but the move did not work out.
In 'My Autobiography', Ferguson labelled Bosnich "a terrible professional" and went even further in his press conference.
"Mark got off to a really bad start," said the Scot.
"He turned up three hours late for his first day's training and he was overweight."
Bosnich, who now works as a TV pundit in Australia, has not been impressed by the comments.
And amid speculation Ferguson will head Down Under to watch the Melbourne Cup next month, the former Aston Villa keeper would relish the chance to set the record straight.
"I'll definitely go down there if he is down there and ask to see him," Bosnich told talkSPORT.
"I'm going to tell him straight to his face and I'll ask him to repeat [his criticism] and then I will tell him exactly what I want to say and you guys can all read about it, like you read his book.
"Sir Alex is entitled to his versions of events as I will be entitled to my right to reply at the appropriate time."
Bosnich added in his column on Fox Sports: "He referenced a period of my career when I returned to training overweight.
"That's true. I usually returned two kilograms overweight and on this occasion I was two and a half."
Source: PA
Source: PA