How do I drop table variables in SQL-Server? Should I even do this?

Table variables are automatically local and automatically dropped -- you don't have to worry about it.

if somebody else comes across this... and you really need to drop it like while in a loop, you can just delete all from the table variable:

DELETE FROM @tableVariableName

Table variables are just like int or varchar variables.

You don't need to drop them. They have the same scope rules as int or varchar variables

The scope of a variable is the range of Transact-SQL statements that can reference the variable. The scope of a variable lasts from the point it is declared until the end of the batch or stored procedure in which it is declared.

But you all forgot to mention, that if a variable table is used within a loop it will need emptying (delete @table) prior to loading with data again within a loop.

Just Like TempTables, a local table variable is also created in TempDB. The scope of table variable is the batch, stored procedure and statement block in which it is declared. They can be passed as parameters between procedures. They are automatically dropped when you close that session on which you create them.