Ferdinand was skipper at his former club Leeds United in his last season at the club.
Rio said on the launch of his autobiography Rio: My Story: “Like any other player I want to be captain of my club.
“It’s the manager’s decision and Gary was a more than worthy candidate who was also in the reckoning for the England captaincy.
“I’d love to be captain of Manchester United but right now it is Gary Neville and I am more than happy with that”