The call was made after a valid strike was ruled out in Saturday's Bundesliga match between Hoffenheim and Nurnberg.
Kevin Volland's lob clearly crossed the line before curling back into play, and referee Thorsten Kinhofer did not give the goal after consulting with linesman Detlef Scheppe.
Had the goal stood, Hoffenheim may have built a three-goal lead. Instead, Nurnberg clawed their way back from two goals down to draw the game 2-2.
"My first thought was that the ball had not gone in, it's only when I saw the TV images that it became clear that it was a mistake," said Kinhofer to Sky television.
"Wherever it comes down to human judgment, errors happen. We referees would welcome having this kind of decision taken away from us, but that's just not the case so we have to take the decisions, and this time it was the wrong one unfortunately."
Nurnberg goalkeeper Raphael Schafer, who would have suffered had goalline technology - which is being used in England for the first time in the Community Shield on Sunday - been in use in the Bundesliga, says he is also in favour of its introduction.
"I'm all for it," he said. "That would relieve the pressure on the linesmen. The whole point is not to make the referees look like idiots."
Although football's world governing body FIFA has given the green light to the implementation of goalline technology, the Bundesliga will not be applying the technology for at least two more years.
"A further assessment will be made nearer the time to determine whether to subsequently introduce the technology," said a statement from the DFL last March, when it was announced that the technology "will not be implemented in the Bundesliga before 1 July 2015".