Former Leeds boss Redfearn, who was recently sacked by Rotherham United, told Radio Yorkshire earlier this week that Barton was one of four big-name players who wanted to join Leeds.
"I was consulted at the end of the season by Andrew Umbers about possible signings and additions to the side, and I came up with a list, with people like Joey Barton, Jason Shackell and Matty Phillips at QPR. All good players, and obviously Charlie Adam, who Thommo knew from Stoke City," said Redfearn.
"These were all players that were interested, at that time we'd contacted them through different sources, and they were genuinely interested in coming to play for Leeds United," he added.
Barton, formerly of clubs like Manchester City, Newcastle United and Queens Park Rangers, was a free agent over the summer, but no move to Elland Road materialised after Redfearn lost his job and was replaced by Uwe Rosler.
33-year-old midfielder Barton then joined Championship high-flyers Burnley on a free transfer, and he has been the heartbeat of Sean Dyche's midfield throughout the campaign.
Many will argue that Barton is the kind of player that Leeds were missing before the signature of Liam Bridcutt from Sunderland, and Barton has taken to Twitter to clarify the situation.
Barton admitted that Leeds are a 'huge club', but wanted stability before having a keen interest in a move - and with chaos surrounding Massimo Cellino's position at Elland Road, stability is hard to come by at Leeds right now.
Barton added that he didn't have time for 'nonsense' at Leeds, and wished the club and Redfearn all the best for the future.
Here is how Joey Barton responded on Twitter after Redfearn's claims about a potential move to Leeds United...
Leeds is a huge club and of course if they had stability off the field, It could have been of interest last year. https://t.co/e2RXssnjnp— Joseph Barton (@Joey7Barton) February 17, 2016
But with current issues away from the field, I couldn't afford to join a club and waste energy on nonsense. https://t.co/e2RXssnjnp— Joseph Barton (@Joey7Barton) February 17, 2016
Wish Leeds Utd and Neil all the best in the future. Hope that clears it up. https://t.co/e2RXssnjnp— Joseph Barton (@Joey7Barton) February 17, 2016
Would you have liked to see Barton sign for Leeds?