@Pavel yannara Mirochnitchenko Thanks for posting in our Q&A. From your description, did you mean that you approve this app in Managed Google Play via intune, but this app doesn't show in Android app list. If there is any misunderstanding, feel free to let us know.
For this issue, I have tried this action in my lab. When I approve this app and then click on "sync", it shows in the android app list quickly.
To clarify this issue, it is suggested to check some information:
1.Please check if the status of Managed Google Play is active.
2.Please try to manually sync in Tenant administration > Connectors and tokens > Managed Google Play and then check if we can see this app in Android app list.
Hope it will help.
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