Euro 2012 - Ferdinand: I don't want captaincy
Ferdinand inherited the captaincy in 2010 when Terry was sacked over allegations he had an affair with then-England team-mate Wayne Bridge's ex-girlfriend.
However, the Manchester United defender was removed from the post in March 2011 when Terry was reinstated - it was widely reported that manager Fabio Capello did not speak to Ferdinand before making the decision public.
Minutes after Terry's removal for the second time on Friday, Ferdinand tweeted: "I don't want to be England captain after the last episode.
"Just want to concentrate on playing for Man Utd and if I make the squad then as ever I'll be delighted."
Terry faces trial in July, charged with racially abusing Ferdinand's brother Anton in a QPR versus Chelsea match last autumn.
It had been reported that Rio was considering refusing to shake Terry's hand before Sunday's game between Chelsea and United at Stamford Bridge.
However, a potentially awkward situation has been averted by the news that the Chelsea captain will miss the game through injury.