Rangel was signed by former Swans boss Roberto Martinez in 2007
Swansea City chairman Huw Jenkins says he is "disappointed" by comments from defender Angel Rangel regarding a possible move to Fulham.
The Spaniard, 27, claimed he was denied the chance to further his career by joining the Premier League club at the end of the transfer window.
"I'm disappointed to read so many inaccuracies in the quotes from Angel," Jenkins said of the newspaper report.
He says Fulham had only made a loan bid with a possible permanent deal after.
"At no time did Fulham offer any financial deal for our player apart from a loan option with the 'possibility' of a permanent deal at the end of it," Jenkins added.
"I am certainly not prepared to let a regular and quality Championship player with 18 months left on his contract leave the club for virtually nothing.
"As with every footballer at this club, if they don't want to play for Swansea City then they can leave, because it is important we maintain the fantastic spirit and togetherness within the squad that has taken us up to fifth in the Championship.
"But they will not leave until the deal is right for this football club.
"We've worked too hard and come too far as a football club to give players away for nothing to Premier League or other Championship clubs."
Jenkins confirmed at the close of the January transfer window on Monday that the Swans had snubbed a move by the Cottagers for right-back Rangel.
He also revealed Wigan Athletic had a £1m bid rejected for midfielder Leon Britton while Nottingham Forest also failed in their attempts to sign Britton's midfield partner Darren Pratley.
But Rangel, who joined from Spanish side Terrassa in 2007 for a small undisclosed fee and needs one more appearance to trigger an automatic contract extension, told the South Wales Evening Post: "To be honest I am disappointed.
"What I know from my agent is that Fulham made an offer and it was the offer the chairman was asking for.
"But then when everything about the deal was sorted and everything was ready, the chairman did not answer his phone or he turned it off.
"I think he asked for quite a lot of money for me and Fulham made a huge effort to get me, but he didn't want to sell.
"I think he asked for quite a high fee and he didn't expect Fulham to agree it."
He added: "I think the chairman should have answered Fulham's calls — he should have spoken to them.
"I tried to contact myself and eventually spoke to him just before the 5pm deadline, but by then it was too late."
Rangel has also been linked with Premier League sides West Ham and Wigan along with Scottish Premier League side Celtic, but says he would still "try my best for Swansea".
"This is not about wanting to leave Swansea — I love the club and I have always loved it," he said.
"But when I came to Swansea I had to leave my old club to further my career, and this was the same kind of thing."
"I have always given my best for Swansea City, but I have always said I would like to consider it if a Premier League club came in for me.
"That has now happened but the chairman did not ask me what I thought.
"Swansea only paid a few thousand pounds for me so they would have got a good profit out of the deal.
"But it didn't happen and I am disappointed. I feel like the chairman has stopped me improving my career."
He added: "It's not the end of the world. I've always said it would be great to get to the Premier League with Swansea and that's what I will try to do."
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