“I have no plans of retirement from international cricket at this stage and subject to form and fitness I would like to be considered for selection in all three formats of the game for the foreseeable future”
Sangakkara insisted his decision to resign the captaincy was made prior to the start of the World Cup.
"I will be 37 by the next World Cup and I cannot therefore be sure of my place in the team. It is better that Sri Lanka is led now by a player who will be at the peak of their career during that tournament," he continued.
"It has been a true honour and a great privilege to serve my country as captain during the past two years and, although bitterly disappointed that we could not win the final, I am very proud of the performances of the team.
"I met with the selectors yesterday and I explained my reasons for my decision and I assured them of my fullest support in helping our new captain settle into the leadership.
"In this regard, I have offered to continue as the Test captain for the forthcoming series with England [which starts in Cardiff on 26 May] and possibly Australia if the selectors believe this would help the new captain and aid the transition.
Cricket World Cup: Kumar Sangakkara gracious in defeat
"I have no plans of retirement from international cricket at this stage and subject to form and fitness I would like to be considered for selection in all three formats of the game for the foreseeable future."
Eloquent and articulate, Sangakkara is seen as an excellent ambassador for his country, according to the BBC's Charles Haviland in Colombo.
He won warm acclaim for the grace with which he as captain accepted defeat to India in the World Cup final and for the praise he gave to Sri Lanka's victorious opponents.
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.