Ah, okay, here's your issue. You don't actually have permission to create the database as non-root user through PHPMyAdmin. Create your DB in CPanel, then select that DB in PHPMyAdmin. It should let you import into that DB. If and only if that doesn't work, there's a command line way to do it. The server admin most likely did it via the command line, because WHM won't even let him use PHPMyAdmin as root to do it.