"coat jacket" is correct and usable in written English.
You can use it any time to refer to a coat that is designed or cut like a jacket. For example: "She paired her black dress with a long coat jacket for a classic look."
At one cocktail party, he even opened his coat jacket to show it off.
Shirt, any of a variety of garments having sleeves and worn on the upper part of the body, often under a coat, jacket, or other garment.
Loden coat, jacket of Tyrolean origin, made of loden cloth, which was first handwoven by peasants living in Loderers, Austria, in the 16th century.
Her "seven easy pieces" -- bodysuit, coat, jacket, blouse, skirt, pants and something with a bit of evening sparkle, offered women both tribute (those curves! that cleavage!) -- and comfort (hiding a too-big backside, for instance).
When Ms. Newman was through, the woman had purchased a Jil Sander coat, jacket and sweater, two pairs of Incotex pants, a pair of Prada shoes and the ultimate in hushed status symbols: a $695 Dianora Salviati scarf.
At whatever length, car coat, jacket, gown...the collar is a fotz.
His suit and coat jackets, in classic navy, gray and oxblood, had thin braiding details on the sleeves, or leather insets at the elbows, or a panel of quilting — just a little something to make them interesting.
Pimps always always wear coat jackets, even in hot weather or inside, because it completes the look and makes them more recognizable.
The overall style was sporty, with tailored Raj coats, jackets and knits, and narrow pants under draped or long skirts.
The textiles here, called boro, are work coats, jackets and futon covers used by farmers, fisherman and workers.
Almost every high-street store is brimming with ankle-length coats, jackets and long dresses in muted palettes.
