Football's marquee tournament has been hosted by a South American country on four previous occasions and each time a nation from that region has gone on to win the trophy.
This year's World Cup begins in Brazil on Thursday and Hitzfeld believes it will be tricky for European nations to go all the way.
"(It is) very, very difficult (for a European team to win)," he told laureus.com.
"It cannot be a coincidence that a European team couldn't win a World Cup held in South America.
"Not in Uruguay, not in Mexico, not in Argentina and for sure not in Brazil."
With Brazil hosting the World Cup for the first time since 1950, the pressure to deliver success on home soil has arguably never been higher.
But Hitzfeld feels that Luiz Felipe Scolari's men can cope with the expectation and pointed to Brazil's triumph at last year's Confederations Cup as an indicator of how well they can do.
He added: "There is always pressure in football.
"The expectations may be a bit more noticeable at a home World Cup. But Brazil has shown at the Confederations Cup a year ago how you deal well with these special conditions."
Switzerland are in Group E alongside Ecuador, France and Honduras.