'My Autobiography' has lifted the lid on some of the most famous situations in Ferguson's United reign, with one of the sections focussed on Beckham.
And Atkinson - the man who was replaced by Ferguson - believes Beckham received the harshest of criticism given his support for his former mentor.
“I certainly think Beckham will be more upset by what he has said than, for example, Keane,” said Atkinson, speaking to the Express and Star. “He has always stayed loyal to Fergie and said how much he admires him.
“I am surprised how far he has gone in his criticism of some of his big hitters. He will probably be coming off one or two Christmas card lists at the moment. But it certainly makes for interesting reading.”
Another victim of Ferguson's wrath is former captain Roy Keane.
Together the pair helped Manchester United to their most successful period, however, the legendary boss failed to let Irishman Keane off the hook.
One of the criticism's labelled at Keane was about his managerial career.
“His two spells in management proved one thing: he needs money,” Ferguson said. “I didn’t feel Roy had the patience to build.”
And ex-United player Paul McGrath - who also played under Atkinson at Villa - has spoken against Ferguson's words, reminding him of his early days at United: “I just think it’s overstepping the mark,” he said.