The England and Wales Cricket Board are on the hunt for a new limited-overs head coach after Matthew Mott left his post on Tuesday.
Marcus Trescothick has been placed in interim charge while Rob Key, the managing director of England men's cricket, begins the search for Mott's replacement.
Sangakkara has been listed as an early front-runner after success with Rajasthan Royals, the Indian Premier League franchise of England's white-ball captain Jos Buttler, but the former Sri Lanka captain is keeping his cards close to his chest..
"Well, I know (my name) has been mentioned for some reason, but there has not been any approach as such," Sangakkara, part of Sky Sports' commentary team for The Hundred, told the PA news agency.
"I think the England white-ball job is an exciting prospect for anyone, but there are so many good candidates out there."
The Sri Lanka legend, who represented his country between 2000-2015, would appear to tick a lot of boxes, especially given his strong relationship with Buttler.
The 46-year-old also has an English home, but has served as Rajasthan Royals head coach for the past four editions of the IPL, a tournament which eats into two months of the cricket calendar.
Sangakkara added: "I am very happy at the moment. The Rajasthan Royals experience has been very fulfilling and it has been a job I have really enjoyed over the last four years."
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