Ferguson released his autobiography today with United languishing in eight spot in the Premier League and yet to record back-to-back victories since his retirement.
The Scot admitted the press conference to herald the book's publication did not represent the greatest of timing given the scrutiny Moyes is now under.
However, he is sure the former Everton boss will get it right, and claimed United are the only club who could win the title from their present position.
"Obviously this press conference has come at a bad time, otherwise I wouldn't have been asked that question," said Ferguson.
"When I joined Manchester United I was given great encouragement from Matt Busby, who was a fantastic help to me.
"I hope to help David Moyes in exactly the same way."
One of Moyes' first acts as United boss was to rail against what he perceived to be a fixture list loaded against him, featuring, as it did, matches against Chelsea, Liverpool and Manchester City in his first five games.
"When I saw that fixture list I would have been raging too," said Ferguson.
"It was a really difficult start to the season.
"But do you know something, Manchester United are the only club that can win the league from coming from behind.
"Once they get the ball rolling, everything will be fine."
Ferguson added: "David Moyes is in a great position. He will get the same help I got.
"He has a great support system and he will be fine."
Ferguson said he had not considered walking away from the limelight after announcing his retirement in May.
"When you are part of our club it is very difficult to leave it permanently," he said.
"You have to remain active. I have taken on quite a few challenges over the past few months."
In a press conference that lasted almost 45 minutes, Ferguson touched on a number of key areas in his book, including the revelation that he twice turned down the job of managing England.
"It was a great opportunity to relegate England," said Ferguson.
"No way would I have taken that job. (Former FA chief executive) Adam Crozier was the first one to come and see me.
"It took me about 10 seconds to say no way. I couldn't manage England in a million years. Think of me going back to Scotland doing that."
Three of the more controversial characters Ferguson had to deal with during his 26 years at United were Wayne Rooney, Roy Keane and David Beckham.
Ferguson repeated his assertion that Rooney asked to leave United at the end of last season.
However, he also stated that had the England forward been playing the way he has been this season, a move away from Old Trafford would not even have been considered.
"Wayne asked away because he felt he was playing out of position," said Ferguson.
"I can understand that. My judgement was that Wayne wasn't playing well enough.
"But when you see him playing like he is, do you think I would drop him? No way.
"He is England's great white hope and a great player for Manchester United. The player who is playing now is a different player."
Ferguson said he believed England had made a mistake taking Rooney to the 2006 World Cup after he had broken his foot just before the end of the season.
Yet he believed England were right to do exactly the same with Beckham four years earlier because his fitness levels were higher.
Evidently, Ferguson has genuine affection for Beckham, but once he started to become attracted to the celebrity lifestyle of girlfriend - and subsequently wife - Victoria, a schism was created that never healed after the infamous dressing room boot incident.
"Everything changed when he fell in love with Victoria," said Ferguson.
"If he had asked my advice about leaving Real Madrid for LA Galaxy I would have told me exactly what I thought.
"He reinvented himself a couple of times to get to AC Milan and Paris St Germain.
"Maybe he will look back and think going to Los Angeles wasn't the right choice."
Ferguson said he had been prevented from discussing the Rock of Gibraltar issue over a deal struck with Irish duo John Magnier and JP McManus when the matter had been resolved.
Keane did make an issue of it though around the time of his infamous MUTV tirade which eventually led to his exit from the club.
"We couldn't release that tape," said Ferguson.
"Everything happened so quickly. We decided we had to do something.
"I couldn't lose my control in this situation. If I had done that the players would have viewed me differently.
"You have to be strong enough to deal with important issues.
"Roy Keane overstepped the mark. He was a great player for us but there was no other thing we could do."
Why, lester210? Because "monkey" always means "not white person"? If that's the connotation you take, it's a reflection on your attitude rather than his. Anyone who was offended by Hodgson's remark needs to take a look in the mirror if the word monkey = racism. God forbid you should ever go to the zoo.- ted, manchester