The phrase "kitchen storeroom" is correct and usable in written English.
You can use it when you are referring to a room in a home or other building in which food, kitchen supplies, and/or kitchen appliances are stored. For example, "I need to check the kitchen storeroom for more napkins."
Exact(1)
Just before closing, Staley and two friends came in, and Staley herded the employees into a kitchen storeroom and made manager Robert Read open the cash registers and the safe.
Similar(59)
I never saw anyone arguing over the porridge, not until they found the empty bags in which it was delivered to the prison in the back of one of the kitchen storerooms.
Set your kitchen, storerooms etc as staff only as early as possible, this will prevent prisoners from getting hold of the worst kinds of weapons.
Each of the cottages had a kitchen, a storeroom and a privy.
Even the laundry, kitchen and storerooms in the basement, it said, were "as complete as those of any first class hotel".
His house consists of a cozy front parlor, a small bedroom, a kitchen, and a storeroom.
The living room is flanked on the right by two bedrooms — one currently used as an office and the other with an en-suite bath and dressing room — and on the left by a large kitchen and a storeroom used as a wine cellar.
The courtyard, around 150 feet by 125 feet, contained additional buildings during the castle's history, probably including a kitchen, bakehouse and storerooms, which were pulled down around 1800.
The gardeners from the big house transported his cubicle in pieces, then helped him reassemble it next to a hut that was already standing there, a single stone-walled room, with an open hearth, which Rezak could use as a storeroom and kitchen.
The kitchen, he said, was a storeroom when they bought the apartment in 2001, paying in American currency $100,000 to a Hungarian-American couple in the middle of a divorce.
On the lowest of these platforms a heavy wall first oval, later rectangular enclosed storerooms, the temple kitchen, workshops, and other such rooms.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com