How do I remove payment verification when downloading app

Do you see: "Before you can make purchases, you must tap Continue to sign in, then verify your payment info"?

The resolution to this issue is often making sure you have entered a credit card or other valid method of payment* even if you don't plan on needing to use it.

If there is an option to select "Review" or "Continue", select that and enter valid payment information if required (you may need to enter your Apple ID password first). If there's problems doing this:

Tap: Settings > [your name at the top] > Media & Purchases > View Account > Review Apple ID.

More things to try in this 2018 post by Urquhart1244 marked Apple Recommended:

https://discussions.apple.com/thread/8434425?answerId=33542414022#33542414022

*Payment methods that you can use with your Apple ID - https://support.apple.com/HT202631