Apple News on Android
Can Apple News be accessed by family sharing on an android device?
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Short answer, no. It seems you have to use the News App which is Apple-only.
"You can download full issues of your favorite magazines to your Apple devices and access them anywhere, anytime, without an internet connection."
Join Apple News+ in the News app - Apple Support
"Subscribe to Apple News+ to access hundreds of magazines, newspapers, and premium digital publishers in the News app on your iPhone, iPad, iPod touch, or Mac."