Klopp took aim at Lahm after he blasted Germany coach Joachim Low.
But Lahm told Handelsblatt, "Criticism is always included, and I'm more of a self-critical person.
"Sure, when you do something like that, it's talked about, and I know that not everybody likes it.
"As an honorary and longtime captain, I see myself also in the responsibility to stimulate discussion. I've put my thoughts at the ready to speak openly."