How can I make my iOS app "Sold Out"?
I want it to be "Sold out" for the next month while still having the ability to release updates.


There is no such provision available on the App Store, hosting the app while users can’t purchase/install it. Most likely explanation would be that it interferes with the overall UX and has the potential of causing confusion.


  I am considering changing the price of the app to the max tier and writing "Sold out, restocking on xx.xx.xxxx" in the promotional text.


Hiking the price temporarily would not be an advisable approach. It will likely bring negative publicity to the app. This approach (especially with regard to the promotional text) could also cause the app update to get rejected.

If you would like to control when the app update gets released on the App Store, you can choose to manually release instead of automatically release when approved when submitting the app update.


Manually release a version - App Store Connect Help