Hi,
Here's a quick rundown:
1. Prerequisites: Make sure the base Dataverse-to-Fabric link is fully created and healthy first F&O tables won't show up if that base link isn't working. Also confirm your Dataverse environment is actually linked to your F&O environment (check in Power Platform admin center).
2. Special properties needed: F&O tables need to be exposed as data entities in F&O (not just raw tables) to be eligible for the Fabric link. If a table only exists as a raw table with no corresponding data entity, it won't appear in the picker.
3. Restrictions: Yes, only tables exposed as data entities are supported, similar to BYOD/entity export. Not every raw F&O table qualifies.
4. How to check a specific table: Go to F&O → Data management → Entities, and search for that table/entity name. If it's not listed there as a data entity, that's likely why it's missing from the Fabric table picker too.
Quick fix to try: Check if your missing tables have data entities built for them. If not, you may need to create/expose a data entity for that table before it can be linked.
If all that checks out and it's still missing, it may need a Microsoft Support ticket.