Has anyone had issues with their PO's that were imported from QB Desktop showing nothing received against them? All my PO's show full quantities open.

Allow me to provide some insights about the Purchase order showing open after importing your data from QuickBooks Desktop to Online, @brightonhomesaz.

When you switch from QuickBooks Desktop to QuickBooks Online, you may notice differences in how your books appear. One of these is that it removes the link between bills and Purchase Orders. Open POs won't reflect items received.

What we can do is link the PO to the Bill to reflect items received. To proceed, here's how:

1. Click + New and choose Bill. 
2. From the Payee ▼ dropdown, choose the vendor. This opens a window with their open purchase orders.
3. Select Add for the correct purchase order. This adds the items from the purchase order. They appear in the Item details section.
4. If you plan to bill a customer for a specific item, select the Billable checkbox. Then add the customer you plan to bill in the Customer column.
5. Click Save and close.

For more information, please see this article on how to add an accepted purchase order to a transaction for your vendor: Add purchase orders to expenses, bills, or checks in QuickBooks Online.

I'm also adding this resource to help you email purchase orders (PO) directly to vendors when you're ready to buy more products: Create and send purchase orders in QuickBooks Online.

If you have any other questions about purchase orders, let me know by adding a comment below. I'm more than happy to help. Wishing you a good one!