The 73-year-old is happy for his Republic of Ireland team to play defensively if they continue to win matches and insists that his coaching methods are not outdated
The Boys in Green grabbed a narrow win over Bosnia-Herzegovina on Saturday but Trapattoni insists he was more concerned with getting a win than putting on a show.
"Ten years ago [at the 2002 World Cup], the old Ireland side played very well but in the past 10, 12 years, it is completely different football," the Italian told reporters.
"What I ask always of the team is that we believe in ourselves. We have shown them what we want them to do and they understand.
|Ireland 1-0 Bosnia
"I have said many, many times, there is the show and the result. You can have a beautiful show, but without a good result.
"After three days, the result remains, but the show is forgotten, and they understand this."
The 73-year-old has faced criticism for supposed old-fashioned techniques but the former AC Milan, Inter and Juventus manager has firmly stated that he is as forward-thinking as any coach.
"I have had many opportunities in the past also because I played in finals as a player," Trapattoni continued.
"But that is the past. It is important I show everyone I am still useful.
"That's important because football changes and it's important I go with football. I still know about the old football.
"There are teams that win and there are teams like Bayern [Munich] which played better [than Chelsea] and lost the Champions League final. That's football.
"I follow this football, the new football, every four years, it changes. The referees change, the culture changes."