The Frenchman, 55, Has launched his bid to succeed Sepp Blatter as the world governing body’s president on Monday.
He also wants football to consider using more technology to help referees make key decisions, and punishing teams when players question the official.
Fifa’s presidential election will be held in Zurich in June 2015.
The Frenchman, who has been backed by Pele, announced his intentions to become football’s most powerful man at a news conference in London.
“We need a different Fifa,” he said. “More democratic, more respected, which behaves better and which does more.”
Former Fifa deputy general secretary Champagne worked closely with Blatter between 2002 and 2005 before leaving the organisation in 2010.
Since then he has been working as an international football consultant in troubled regions including Kosovo, Palestine and Israel and Cyprus.
The 55-year-old diplomat suggests players could be sin-binned for two or three minutes for “in-between fouls committed in the heat of the moment”, using the example of an already-booked player receiving a second yellow card for taking off his shirt while celebrating a goal.
He also suggests allowing only the team captain to approach the referee and moving the ball 10 yards further forward whenever a decision for a free-kick is challenged.
“More often than ever, matches are being marred by unacceptable scenes of players surrounding and haranguing the referee,” he wrote in a document first published in March 2013.
Brazil legend Pele, a three-time World Cup winner, said he supports Champagne’s campaign.
“I cannot stay away from a debate which is so important for the future of football and thus, I support Jerome Champagne and his vision,” he said in a recorded message shown at Monday’s news conference.
But Champagne admits he will struggle to win the election if Blatter, who will be 78 in March, decides to stand for a fifth term of office.
Asked if he could beat Blatter, Champagne said: “I don’t think so, he’s someone of relevance.”
Blatter has been president since 1998 but has not yet said whether he will stand again.
Uefa president Michel Platini has also been discussed as a possible candidate, although the ex-France midfielder has not yet declared his intentions.
Written by Steve Milne
