The former Red Devil is confident Jose Mourinho is taking the club in the right direction and that they can get back to the top.
Mourinho's men will have to drastically improve on their sixth-place finish from last time out though.
Everyone bar Tottenham has strengthened over the summer with serious money being thrown around.
But Neville thinks Mourinho's history of winning titles in his second season at a club gives him the edge.
He told the Premier League's website: "The top four in order? Manchester United, Manchester City, Chelsea and Arsenal.
"The two Manchester clubs will fight it out for the league, but Jose Mourinho’s track record of winning titles in his second season and the buys they’ve made this summer mean I am going for United.
"I think playing at Wembley will be a major challenge for Tottenham Hotspur.
"The big wide open pitch will be totally different to White Hart Lane.
"Everton will be my surprise package.
"If they get off to a good start they could break into the top six.
"Golden boot? Either Harry Kane or Romelu Lukaku. I can’t choose between the two.
"Lukaku will get chances, which, if he converts them, will land Man Utd the league."
