Each table is a deck, so make one table per player. Then share each table with the relevant player.
If the table has links to other records, then those will need to be accessible to the player using the table - either shared records from a campaign, or a module the player has open
EDIT: The issue you'll have is that the player can't edit the table - it will be read only to them. They can re-shuffle the deck (via the right hand menu) and the drawn cards will be marked as "used" if the GM has "Auto?" checked. But the player can't manually mark cards as used, only the GM can.