Is there any way to disable the error popup so that it does not have to be dismissed when an oracle error is encountered? When searching for this I found that it was possible in the past with older versions of TOAD and my coworkers do not get a popup when they encounter an error.
I am running my code generally from an editor window and the popup you showed is different from the one I am getting. Also I would like to not have this popup at all and not have to configure it for every possible error to be ignored.
The error dialog that you showed might indicate a query that Toad is running which it expects you to have privileges for.
If you turn on Spool SQL (Main Menu -> Session -> Spool SQL -> Spool to Screen), Toad will show you every query that it runs. You can use that to find which query is causing the error (just search for ORA- in the result). Turn that on and let us know what query causes the error.
I have run a test again and have included the text from the spool and a screen shot showing that the error message is being displayed in the message window as expected. In this case I am running a query that I expect to fail because the there is no object in my schema with that name. Also I am logged into the database as a user with a DBA role.