'cool style' is correct and usable in written English.
You can use it to describe something or someone that has a fashionable, attractive, or impressive quality. For example, "The cake decorator had a cool style, so the birthday party was a hit!".
We loved that cool style of riding".
In some ways it's the epitome of the cool style.
"We can geek out about interactivity or biohacking, but also about cool style".
The trumpeter and vocalist Chet Baker's cool style was an influence on bossa nova.
Each motel offers an unbeatable combination of hot water and cool style.
Think of Italian sunshine, the cafes of the Netherlands and the cool style of Denmark.
He's about as useless a gatherer as his friend Zed is as a hunter, the latter played by Jack Black in his self-aggrandising, pretend-cool style.
The actor went undercover at uber-cool style bible Nylon magazine in New York as part of a hidden camera prank, but quickly became stuck as he didn't know how to answer the phones.
Housed in two cheerfully pink colonial mansions on Paseo Montejo, the 17-room design-focused hotel is bursting with vivid color and Mexican-cool style.
In spring 2011, Rachel Ashwell, the doyenne of the French-country-elegance-meets-SoCal-cool style Shabby Chic, opened The Prairie, a five-house B&B on 46 acres in sleepy Round Top, midway between Houston and Austin.
It will feature a "Birth of the Cool -style nonet whose roster inCool -stylenonetenarian saxophonist Frank whose the octogenarosteruincludesBucky Pizzarelli, the trumpeter Jeremy Pelt (who's inonagenariansaxophonistsinger Mary Stallings (whose age, she would probably say, is none oFrank Wessiness).
