In the latest phpMyAdmin, the navigation on the left panel limits the list of tables to just a small portion of the available information.
To see the full list...
Server: localhost (usually this will be localhost, but may be different in rare cases)
The change the setting for:
Maximum items in branch
to something like:
(we suggest 200 since the tables in Zen Cart are around 100+ )
and click SAVE ...
Now you will see all of the table names in the left panel when you Navigate to a database