Print On Demand - Inventory Managment

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As we are runnign a sublimation business or Print on demand business, we have multiple designs we can print on the same 'blanks' for example, phone cases. As we will have roughly 10 of each phone model case on hand. If someone buys 1 design for example for an Iphone 11 we need to be able to remove 1 case from our inventory for Iphone 11 for ALL designs so that we dont oversell cases. 

Has anyone found an inventory system that works for this as it seems it will just take off 1 variant for that specific product.

Any help is greatly appreciated.