The phrase "acknowledge how he" is correct and usable in written English.
It can be used when discussing the recognition or acceptance of someone's actions or feelings, particularly in relation to a male subject.
Example: "In his speech, he chose to acknowledge how he felt about the recent changes in the organization."
Alternatives: "recognize how he" or "accept how he".
Taylor can acknowledge how he went nearly the first half of this season without a touchdown or 100-yard game or talk about never having made the Pro Bowl without getting uptight.
I wanted to acknowledge how he and the rest of the team had turned the programme around, making what was, until a couple of years ago, a truly innovative show.
Eventually, he agreed to acknowledge how he'd "groomed" his "victims": in one case, they'd gone to dinner, a movie, and — for a Halloween date — to a local haunted house.
He doesn't shy away from acknowledging how he hasn't won a tournament game.
Years later, Slava Fetisov, by then a Devils defenseman who had been on that Soviet team, acknowledged how he and his teammates had been stunned to see Tretiak benched.
And at every step, Mr. Corzine humbly acknowledges how he benefited from good public schools and cheap tuition at an affordable state university.
Kenyon Martin, a rookie, nodded his head after enduring his coach's speech, and acknowledged how he and his teammates had reacted to the Magic press.
What makes this better: Rather than telling your colleague how to feel (which rarely, if ever, works), you're acknowledging how he does feel, and then inviting him to explore what's driving that emotion.
Holst's pupil Edmund Rubbra acknowledged how he and other younger English composers had adopted Holst's economy of style: "With what enthusiasm did we pare down our music to the very bone".
"I probably came up to his belt buckle at that point," Alvin said, acknowledging how he and his older brother, Phil, had started seeking out celebrated folk and blues musicians when they were still passionate teenage music fans from Downey.
For example, when his intractably suffering patient died shortly after being treated, Jeremy (Palliative Specialist) acknowledged how he could be compelled to use double effect despite finding it distasteful: I don't like invoking the Principle of Double Effect as justification for what I did with that patient…at all.
