Once I click "Release this version" in iTunes Connect, how long does it take for the new version to be available in the App Store?
Apple doesn't guarantee how much time it will take. Per "version iTunes Connect Developer Guide:
Click the Release This Version button that appears.
Your app version will then be live on the App Store pending the customary processing times.
After you clicked "release this version", your app will go live on Apple's many iTunes servers. I think the transfer processes to each server have different delay time. My experience is that this takes 15 minutes - 4 hours.
This time (at least in my experience) tends to range from anywhere between a couple minutes and 1-2 hours, but will definitely be updated within the day. I have noticed that apps appear to show up on iTunes faster than they show up in the App Store.
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