Following similar denials from the club's manager and chairman, the Spanish right-back has hit out at suggestions that the Swans squad are unhappy under Michael Laudrup
Swans chairman Huw Jenkins recently denied rumours of disagreements in the camp, with Laudrup himself also calling for an end to the speculation.
And Rangel has now moved to insist there is no disharmony at the south Wales club, describing the squad as a "close family".
"There is nothing wrong within the squad," Rangel told Sky Sports.
|3/1||Swansea are 3/1 to be relegated this season with Bet365|
"I was surprised because I cannot see any player going against the manager. These things don't happen here because we are a close family and everyone is honest.
"I have never seen any signs that there is not unity within the squad, everyone has always been together, but this will make us stronger."
After a poor run of form which has seen Swansea fail to post a win in five games, the Spaniard believes victory over Wigan this weekend will help put the rumours to bed.
"We haven't really talked about it [the rumours]," Rangel continued. "We all know that a win on Saturday will show everyone that these things are wrong. Hopefully that will be the case.
"Hopefully we won't give so many chances away and at the other end we have to score goals. We have to work on keeping clean sheets now because that is important.
"We are a team and sometimes we have been unfortunate with individual mistakes."