Some of my potatoes last year were planted from "volunteer" sprouted potatoes in a bag in my kitchen.
They did pretty well, considering their rough start in life...
Recommended size for "seed" potatoes is two eyes or two inches. I don't know how large your potatoes are, but maybe cut them into two or three chunks so as to interfere with the sprouts as little as possible while *not* making any of them grow upside-down in the dirt.
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Sunset Zone 17, USDA Zone 9