The phrase "acknowledged that when you" is correct and usable in written English.
It can be used when discussing a recognition or admission regarding a specific action or situation that involves the listener.
Example: "She acknowledged that when you express your concerns, it helps to foster open communication."
Alternatives: "recognized that when you" or "admitted that when you".
He acknowledged that "when you get to other towns like Fairfield, Westport and Darien, your options diminish.
But he acknowledged that "when you have this turbulence in the global economy, you're not going to be able to tactically, magically change the political situation".
But Mr. Hewitt acknowledged that "when you're in this world, you often have no idea what the truth is," and that was one reason he had hesitated to go with the segment.
It is a truth universally acknowledged that when you go to see a Pixar movie -- well, except maybe one of those "Cars" ones -- you are going to cry at some point, if not through three-quarters of the movie.
She also acknowledged that, "When you're the director, whatever you need you should have".
If you're being honest, most people would acknowledge that when you pick an individual stock or two and they subsequently triple in price, that outcome is more often than not a result of luck and not some inherent skill.
The first is that it is impossible to rest the case for the BBC on its value and achievements without also acknowledging that when you point to the BBC, you are pointing to an organisation that makes mistakes.
Daryanani acknowledges that "when you sell on any platform there are of course rules to abide by and costs so that takes some adjustment", but he adds that the benefits far outweigh getting used to those changes.
Asquith agrees that mindfulness meditation can help avoid last minute panics, because it teaches you how to acknowledge that "when you're about to go into an exam there's not much else you can do but just go through that experience".
It is a truth universally acknowledged that when attending an all-you-can-eat buffet, one must consume beyond one's means.
He acknowledged, however, that "when you get down to brigade level" the picture became fuzzier.
