Black Caps captain Brendon McCullum and former batsman Lou Vincent have both told ICC investigators that Player X approached them to fix matches, according to leaked testimony from the pair, but the mystery cricketer has not been publicly named.
McCullum testified that he rejected Player X's overtures in 2008, while Vincent has reportedly agreed to provide evidence about his part in a match-fixing plot in a bid to avoid prosecution.
Amid widespread speculation about the identity of Player X, Cairns issued a statement to the Dominion Post newspaper denying it was him.
"It is well known that the ICC/ACSU (Anti-Corruption and Security Unit) has been investigating allegations of corruption and my name has been linked by others to these allegations. I am being asked whether I am Player X," he said.
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"Based on the limited information I have received during this investigation, I believe it is being alleged that I am that player. These allegations against me are a complete lie."
The 43-year-old retired from international cricket in 2004 after becoming one of only 12 players in Test history to score the all-rounders' double of 200 wickets and 3,000 runs.
In 2012, he won 90,000 pounds in a libel action against former Indian Premier League chairman Lalit Modi in London over a tweet alleging he was involved in match-fixing.
Cairns said he had already proved in court that he was not a match-fixer and urged people to reserve judgement on him until all facts were out in the open.
"I acknowledge that recently I have upset some powerful people in the world of cricket, including raising my own concerns about the state of the game. I believe I am playing the price for that now.