No, Amazon will never suspend your account if you are not having stock in your account. So you don’t need to worry if you don’t have inventory in your account. But sellers should always try to keep stock in their inventory.
For updating your inventory follow these steps:-
• Login in your amazon seller central account.
• Click on Inventory.
• Now select Manage inventory.
• After clicking Manage inventory all your listed products will be displayed on your screen.
• Now update your stock according to your product availability.