To remove the All option from a Tableau quick filter is possible by following these simple steps:
1. Click the small down arrow in the quick filter heading
2. Scroll down to Customize
3. Uncheck where it says ‘Show “All” Value’ so there’s no longer a tick mark against it.
To show the All option follow steps 1 and 2, and in step 3 check the ‘Show “All” Value’ so the tick mark appears against it, as in the diagram below.