Hurst - who revealed he was the subject of a bid from United the year after his World Cup final hat-trick - says Moyes should be given some of the patience that was awarded to his predecessor at Old Trafford.
"No club has the right to be at the top forever,' Hurst said in the West Ham matchday programme.
"But they should not panic. If you go back to Liverpool who dominated for a long time in the game they are just making their way back now after a long transitional period.
"Gradually, Moyes will get the side that he wants and the players he is after.
"It will be a bit more difficult if they do not finish in the top four. The top players may be reluctant to go there if they are not in the Champions League.
"But I still think he is the right manager for Manchester United. Fergie recommended him. It's a season of transition but I think Moyes will turn it around and they'll be OK."
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