The phrase "aware of their potential" is correct and usable in written English.
You can use it when discussing someone's understanding or recognition of their abilities or possibilities.
Example: "The coach emphasized the importance of being aware of their potential to motivate the players."
Alternatives: "conscious of their capabilities" or "recognizing their possibilities."
But most artists were also acutely aware of their potential for spoiling the wilderness whose beauty they captured on canvas.
They just don't have the same opportunities as men, and they're often not aware of their potential.
Acknowledging those feelings and being aware of their potential impact on your decisions can be important, often in ways that aren't clear right away.
I'm not sure what I'll do with what I learn, but I think acknowledging those feelings and being aware of their potential impact will be important.
Education must focus eventually on the neurochemistry underlying habitual use of mind-altering agents so that those who consume them are aware of their potential long-term damaging effects.
Most women are well aware of their potential status as an "elderly primigravida" (the medical term for a woman who becomes pregnant for the first time at age 35 or older).
"Once you have made women more 'aware' of their potential risk, you will have nothing to tell them to do!" Dr. Love wrote in a letter to Ms. Wasserman Schultz asking her not to pursue the bill.
Others leave even before the Scottish game is fully aware of the extent of their potential.
Many of the girls are at the age when they are still children for much of the time, but are also growing conscious of their sexuality; in some unformed way, they are beginning to be aware of their lives' potential.
Supplies of pop and film memorabilia are said to have declined in recent years as studios have become aware of their commercial potential, boosting the rarity value of items that do make their way onto the market.
"We see people without money, who had very hard lives, who are not aware of their own potential," said Maureen Kellen-Taylor, the chief operating officer of EngAGE,a program in the Los Angeles area that provides arts and other classes for some 5,000 people — the vast majority of them low-income — living in senior apartment communities.
