The phrase "noted how important" is correct and usable in written English.
It is typically used when describing someone's observation or acknowledgement of the significance or importance of something. Example: The professor noted how important it is to study for exams in order to do well in the class.
Assistant U.S. Attorney Michael Schacter read liberally from the press reports, which noted how important Stewart's reputation was to her company and its share price.
Ilya Sukhar, the GP at Matrix Partners who led the firm's investment and will join the company's board, noted how important these savings actually are for most customers: "Many of the buyers that Open Listings serves are young families, first time homeowners, and immigrants.
One speaker noted how important cell phone videos have been in calling attention to police misconduct.
Many of their CEOs have said this publicly and noted how important China is to their bottom lines.
They also noted how important her latest recognition is, especially considering Harlem's rich black history and the amazing roster of black artists it has bred.
King, who is as knowledgeable about the Black Lives Matter movement as any journalist, noted how important it is to see openly LGBT folks participating and even serving as leaders of protests from New York to Ferguson and beyond.
We must note how important McNair's start in the Super Bowl is, and the progress the sport is making.
In fact, her charmingly sexy performance is integral to these shorts' successful character, whether she's strolling through a forest of eight-foot-tall, frilled, barbed and spiralling phalli or noting how important it is that her vagina's shape is "species-specific, so that I'm not screwed by a bear".
Bridget Kendall: Note how important it is for Mr Putin to be able to cite legal justification for Crimea rejoining Moscow.
All six "astronauts" kept blogs, and they were quick to note how important it was to keep busy.
To back up, it's important to note how important "optics" are to the alt-right.
