Elias Kachunga was adjudged to have been offside when he headed home what would have been a 61st-minute winner, but television replays showed he was clearly onside.
Terriers striker Laurent Depoitre scored 40 seconds after the restart on his full Premier League debut before Jamie Vardy equalised from the penalty spot four minutes later to clinch the Foxes a point.
When it was pointed out afterwards that his side would have secured all three points if referee Jon Moss had been able to refer to a video referee, Wagner said: “This is correct, but then we have nothing to discuss!
“Unfortunately today it went against us. Nobody likes to make mistakes, but they are part of the game.
“The goal technology is perfect because goals are what counts. Maybe in this situation, with offside decisions, it makes sense to control this as well.
“But maybe I’m too much of a traditionalist. I like the game how it is and I don’t like to make too many changes, even if I know everybody likes to make the game better.”
Replays showed Kachunga was a yard onside when he headed home Mathias Jorgensen’s cross.
But despite Wagner’s disappointment at not bouncing back from Monday night’s first defeat of the season at West Ham with all three points, he was delighted with his side’s performance.
Wagner, who had no complaints with Leicester’s penalty for Chris Lowe’s challenge on Andy King, also saluted his three league debutants - Danny Williams, Abdelhamid Sabiri and in particular Depoitre.
“I think he was very good,” Wagner added. “You cannot ask for more. I’m delighted for him and the group - everybody has seen we have two proper number nines in our squad (Depoitre and Steve Mounie) and he played very well.”
Leicester boss Craig Shakespeare was relieved to have left the John Smith’s Stadium without a defeat.
“If you had offered me a point at half-time I’d have snapped your hand off,” he said.
“First-half performance we were second best and you have to give credit to the home team, the way that they applied themselves.
“We had quite a few players off the pace but ultimately, at the end of the game when you assess it as a manager, we’ve played a lot better than that this season and got nothing.
“So to get a point, I have to be relieved and pleased really. You have to pay a lot of credit to Huddersfield.
“You could see, in terms of the momentum, what they were about and they will be disappointed they didn’t get three points.”
Shakespeare defended £25million summer signing Kelechi Iheanacho, who made little impact on his first start for the Foxes after recovering from a toe injury.
“He’ll only get better and improve from a mixture of playing and training with his team-mates,” Shakespeare added.