Football match-fixing brought "huge fraudulent winnings" against legal and illegal gambling institutions, Eaton added, although he did not have any figures on how much gambling on football is worth specifically.
FIFA president Sepp Blatter last week pledged 20 million euros for a dedicated anti-corruption unit based in Singapore to fight match-fixing, which police officials said was a low-risk, high profit form of crime.
"Criminality involved in fixing football matches is global, enormous and organised," Eaton said. "Football is too respected globally to not be protected."
"These are criminals taking advantage. They are not to be respected, they are not Robin Hoods, they are not good people. They hurt players and they destroy careers."
"We protect young players, we protect young referees by teaching them to resist the temptations that these people are trying to take advantage of," Eaton, a one-time Interpol officer, said.
"FIFA is a football management organisation. It is not an investigation organisation. We don't conduct a lot of security operations with a little bit of football. We conduct a lot of football with a little bit of security," Eaton said.
"Prosecution is not my priority, in fact, not a priority at all."
"Asia is a hotbed of betting and match-fixing and Singapore is among the least corrupt countries on the planet so there may be no better place to set up this initiative than in Singapore," Interpol secretary-general Ronald Noble told a Zurich conference last week.
Eaton recently said in an interview that an "academy of match-fixers" run out of the wealthy city-state might be responsible for rigging matches around the world.
