United won the Premier League and Champions League last season, but Rio is determined to win more trophies.
“The gauntlet is laid down for us because we want to make history,” said Ferdinand.
“The Champions League is something we would really like to retain as it has never been done.
“We want to win the Premier League three times on the bounce because it would give us a shot at number four, which no-one has ever done either.
“People who think we have won enough don’t know this group of players. We want to win and we have a squad good enough to give us a realistic chance.”