Storck, who is also the Hungarian football director of sport, had only three weeks to assemble his squad for the tournament, and said ''no-one'' back home expected the team to advance beyond the group stage.
Now, it is an upset away from advancing to the quarterfinals.
However, Storck is under no illusion as to the big challenge his team faces at Otago Stadium today.
''Today will be a real tough game,'' he said.
''They are very well organised and do very well in defence. They have very good individual players. It's a dangerous team and it's a big challenge to play against them.
''They are a very fighting team; they fight for every centimetre on the pitch. But when you are in the best 16 teams, you have nothing to lose.''
Hungary, which qualified for the round of 16 as one of the best four third-placed teams, won just one of its three group matches (against North Korea), but was perhaps unlucky in a 2-1 loss to Brazil.
Meanwhile, today's opponent topped group D with two wins and a loss and appears to be one of the most complete teams in the tournament.
''We will have to play fast against them,'' Storck said.
''We won't get a lot of chances, I'm sure, but what chances we get we have to score.''
Serbia's defence has been impressive through three games. It has only conceded one goal in three games, and kept the dangerous Mexicans goalless in its final group match at the weekend.
Hungary does possess some dangerous players, including impressive midfielder Bence Mervo, who found the back of the net four times during the group stage.
Storck, who wants to improve Hungarian football by focusing on developing its youth players, was ''very proud'' his team had made the knockout stage, especially after being pitted in a group which included Brazil and Nigeria.
With a playoff spot confirmed before its last match against Nigeria, which it lost 2-0, Storck said the team did not play well but was still confident before today's match.
''We have confidence. I spoke with the team. We now look forward to this game and all our country will be watching the game on television and supporting us,'' he said.
The winner of today's match, the seventh and last game in Dunedin, will play either the United States or Columbia in Auckland on Sunday.
Fifa U20 World Cup
Round-of-16 matches
Today, Otago Stadium
Serbia v Hungary, 4pm.
Other matches
Wellington: Ghana v Mali, 4pm; USA v Columbia, 7.30pm.
North Harbour: Ukraine v Senegal, 7.30pm.
Two players to watch
Hungarian midfielder Bence Mervo is worth keeping an eye on this afternoon. Despite sitting out a chunk of Hungary's final group match against Nigeria, he is tied for the second-most goals (four) in the tournament.
The midfielder scored two classy goals to help his side beat North Korea in its opening match. Serbian midfielder Andrija Zivkovic has stood out in Serbia's three group matches under the roof, and now he will get a chance to help his team advance to the quarterfinals.
Zivkovic, who is apparently drawing interest from clubs across Europe, is not as fleet-footed as Dutch winger Arjen Robben, but he sure reminds you of him when he bursts down the right-hand flank, before cutting on to his preferred left foot.
