How do I approve downloads on my child’s device

For doing this on the child's device itself, read this support article please -->

Approve what kids buy with Ask to Buy - Approve what kids buy with Ask to Buy - Apple Support

If your parent or guardian is nearby, you can tap "approve it in person" and they can approve the purchase directly from your device.

If you are not getting ATB notifications, read the suggestions in the document: If Ask to Buy isn't working - Apple Support about looking for the request in Messages or Notification Center.

Make sure notifications haven't been disabled. This article discusses notifications: Use notifications on your iPhone or iPad - Apple Support

and this one Change notification settings on iPhone - Apple Support

Make sure the software is up to date on all devices involved.

Sometimes it helps to have the devices involved take a fresh look at settings:

● Try signing out of accounts and back in again.

Sign out of iCloud on your iPhone, iPad, iPod touch, Apple TV, or Mac - Apple Support

Sign in with your Apple ID - Apple Support

● Restarting is a simple step that can resolve many unexpected behaviors.

iPhone: Restart your iPhone - Apple Support then choose your model.

iPad: Restart your iPad - Apple Support

Mac: Ways to start up your Mac - Apple Support

If a problem persists, particularly over several days, try contacting Apple for assistance:

Click here --> Choose your country or region - Official Apple Support Select your country, then a product. If you don't see one that handles your issue then keep experimenting with selections until you reach one that gets you a chat session or a telephone call and get the representative to redirect you.

or:

"See a list of Apple phone numbers around the world."

Click here --> Contact Apple for support and service - Apple Support

Here is a solution where editing the name of a mobile device resolved recent occurrences of this issue. It has worked for at least 20 people (plus those here: https://discussions.apple.com/thread/254467828 - and likely many more who never provided feedback after seeing that solution). It isn't something that Apple has in its documentation so I am putting it in a separate post for those who are interested in exploring beyond Apple's formally documented solutions (although several people have reported they were told about it by official Apple Support).

Go to: Settings > General > About > Name

Change the name

Then "Done" and retry.

You can also achieve the same thing by resetting network settings but that will also reset other network features.