United were beaten to the title by rivals Manchester City on the final weekend of last season, but the England coach believes that the club will challenge again next year.
"The beauty of football is that you start afresh each year with a clean slate. United now have an opportunity to put things right. The challenge this season's always the same - it's to win the Premier League, do well in the cups and do well in the Champions League," he told the club's official website.
Neville made 602 appearances for United.