Speaking to Australia radio station Triple M last week, Lehmann was outspoken about Broad following the Nottinghamshire man's decision not to walk after edging a catch behind at Trent Bridge.
Lehmann accused Broad of "blatant cheating" and the conversation cost him 20 per cent of his match fee from the final Ashes Test at the Kia Oval, which ended in a draw with bad light ruining a grandstand finish.
England took a series besieged by talking points 3-0, with Lehmann at the heart of some of them, especially after telling Triple M he wanted the Australian public to hassle Broad so much in the return series this winter that he "cries and goes home".
But Lehmann says he has now spoken to Broad and will look to make sure he chooses his words better in future.
"I've had a chat with him already. We just move on," he said.
"It was a good learning curve for a new coach, wasn't it? "You know, [it was] a jovial setting but you've got to learn from that. I've got to learn and improve from that.
"The players aren't on their own in trying to improve. Coaches have got to improve so that's something I've got to get better at."
Despite the 3-0 defeat and the criticism received following the radio interview, Lehmann still has a passion for the role and is looking forward to the remainder of the tour in England.
"I'm still loving it, it's a great job," he added.
"I'd like to win a Test match, though, but it's a fantastic job. I've seen all the players here, and the one-day and Twenty20 players are obviously starting Thursday, so you get to deal with them and look at how we're going in that format of the game as well.
"By the end of the tour I'll have a really good mindset on all the players which will be quite comforting for me as coach. The players seem to be enjoying it which is good but we also realise we need to win some games."
Having replaced Arthur just over a fortnight before the opening Test at Trent Bridge, Lehmann believes he has not had time to stamp his own philosophy on the Australian team but expects that to change when England travel Down Under for the return series.
"It is really hard when you've just come into the set-up and the touring side's been picked," Lehmann added.
"When we're back home you'll probably see different things happen, but in terms of hearing a lot of things from outside and not being in that circle for many years, to come in and see how they're trying to improve all the time was impressive for me.
"Now it's just a matter of improving that skill level for us to compete better than we have."
- Sports & Recreation