"Immediately after the draw we said that opening of the World Cup is a privilege and an honour for every team," Kovac told reporters.
He spoke in Florianopolis, Brazil, where he was attending along with other coaches of teams that qualified for the World Cup a FIFA-run workshop.
He stressed that at the opening match, to be played at Sao Paolo on 12 June, there will be a level of pressure for Brazil: "Brazil will have a big support, not only at stadium but also from 200 million people in front of their televisions.
"But at the same time it is a pressure for the host which could be our advantage."
"These are strong teams which have their good and bad sides, we analysed them thoroughly and we will prepare well," the 42-year-old former Croatia captain added.
Croatia's best result at a World Cup was third place in 1998 in France, but they missed out on the last edition in South Africa.