By FOX Sports staff
Even though the Samurai Blue entered Tuesday's game knowing a draw would be enough to see them book their spot in Brazil, following Australia's 2-2 draw with Oman, they found themselves trailing by two goals by the hour mark courtesy of goals from Khalil Bani Attiah and Ahmad Hayel.
Shinji Kagawa pulled one back for the visitors in the 69th minute but they wasted an excellent chance to earn the crucial draw three minutes later when Yasuhito Endo saw his well-struck penalty saved by Amer Sabbah.
Speaking after the game, Zaccheroni expressed his belief that luck played a key factor on Tuesday given the way his side had dominated proceedings.
"We played well, controlled the game and created many chances," he said on the AFC's official website. "But we were not lucky and we couldn't score except for the one.
"Jordan were lucky [on Tuesday] and they scored two goals from the few chances they had in the game.
"Our opponents did not change from the previous match except that their defence became better and they were strong.
"We missed our chance to qualify [on Tuesday night] and we must wait for our next match to confirm our qualification."
Jordan coach Adnan Hamad admitted the victory was particularly sweet considering they were handed a 6-0 drubbing when both sides met earlier in the campaign last June.
"We had a great game [on Tuesday] and the players followed our instructions," he said.
"Amer Shafi was a star as always and this win was sweet revenge for us after the defeat that we had in the [earlier] match against Japan in this round."
Hamad further expressed his belief that Jordan could still qualify for the World Cup following a morale-boosting win over one of the continent's top sides.
"The three points gives us a big push to fight for a ticket to the World Cup," he added. "The previous stage was very hard and we should expect things to be harder in the next matches.
"We must focus and get at least four points. This was a historic win for Jordanian football."
Japan are next in action on June 4 when they entertain Australia at the Saitama Stadium 2002, while Jordan have to wait will June 11 before they take on the Socceroos at the Etihad Stadium.