You have to write the permission android.permission.INTERNET
in the Manifest file. There’s no way around it. But as of the latest Play Store update (4.8.19), the Internet Permission won’t show up on the dialog. That’s why the text says “does not require any special permissions“.
Google also states this in the following Support document (Click)
“These days, apps typically access the Internet, so network communication permissions including the “full Internet access” permission have been moved out of the primary permissions screen.”
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solved Connect to the Internet without permission