'aware of its importance' is correct and usable in written English.
You can use it whenever you want to emphasize the significance of something. For example, "The team is aware of its importance in shaping the future of the organization."
Hogarth, well aware of its importance, judiciously placed it on semipublic display at the Foundling Hospital, a benevolent institution for orphan children established by Coram in 1739.
It is simple, not time consuming, and clinicians are aware of its importance and willing to use it.
The results obtained from teaching this subject allow the author to state that the students became more aware of its importance for increasing the quality of architecture, and that it helps them to make the design intentions stronger and clearer.
"I'd never set foot in this place," he said, "but I was aware of its importance to the community".
"I was aware of its importance from writers both from this community in Glasgow and the extended community in Scotland, and also other communites that you could say were in similar situations.
George Bernard Shaw was aware of its importance when he quipped, "Do not do unto others as you would have them do unto you – they might have different tastes". Empathy, I was learning, is about discovering those different tastes.
"We're well aware of its historic importance in the transportation industry.
Aware of its strategic importance, Pakistan has been in no hurry to accede to India's demands to prosecute those it holds responsible for the Mumbai massacre.
While the big guys were collectively ignoring search, a few startups were acutely aware of its strategic importance: those who catered to small businesses.
But we have to be aware of overemphasizing its importance.
Community is fully aware of the importance of its cleanliness and safety because it is the primary source of safe water," says Rahman, who is the official caretaker of the PSF and runs a nearby small store.
