The tournament has seen a record-breaking number of goals scored, while a cohort of planned protests are yet to disrupt the running of the footballing showpiece.
"I am a very happy man today. It is a success of the country, of this game," said Blatter at a seminar in Brazil.
"I would like to address my compliments to the people of Brazil. They accepted this World Cup. Let's cross fingers, hoping that the last games will take place with the same pattern, the same atmosphere."
The next fixture of the tournament takes place on Friday night, as France face Germany in the first game of the quarter-final stage.