The Brazilian football federation (CBF) wrote to FIFA asking that an automatic restriction be placed on the players from appearing for their clubs between September 10 and 14.
The players are Ederson and Gabriel Jesus from Manchester City, Liverpool trio Alisson, Fabinho and Roberto Firmino, Fred at Manchester United, Thiago Silva at Chelsea and Raphinha at Leeds.
The CBF did not request a restriction be placed on Everton forward Richarlison, who was released by the club to play for his country at the Olympic Games this summer.
And Jordan reckons clubs have to stick to their guns and dispute the four-day ban which is being imposed.
"They've either got to stick on their position or you've got to back down," the White and Jordan co-host said.
"I'd stick to that position because if they've kicked up all that furore in the first place - what's your resolution? Kick it into CAS (Court of Arbitration for Sport), the ground would be smoothed over and everyone will be playing nicely for the next international break.
"I'd put FIFA to the test and see if they're really gonna do this."
Jordan also believes the fact that Richarlison wasn't included as one of the players could work in the clubs' favours.
"Richarlison was not released by Everton and the Brazilian federation have gone "It's OK. We like him because Everton let him go to the Olympics" at completely different quarantine parameters.
"If I'm the other clubs I'm saying 'do that' as they can say to CAS: "How can you do one thing for one club and not do it for everybody else?"
BETTING SPECIAL - GET 50/1 ON RONALDO TO SCORE FIRST AGAINST NEWCASTLE
Download talkSPORT Edge NOW!
Whether it's goals as they go in or the latest from your club, stay up to date with everything going on in football with breaking news, live scores and in-app betting.
Download talkSPORT Edge in the App Store here.