If you want Facebook background activity and zero extra permissions:
: Mobile operators waive data charges for specific traffic by whitelisting Facebook's text-based servers.
: It was primarily developed for users in regions with high data costs or for those using low-end, older Android devices that cannot support the full app. Core Features of Zero-Rated Facebook Apps Is Facebook Zero the Future of Public Internet Access?
There is no magic “Zero Facebook APK,” but by using Facebook Lite or the mobile web version , you get 90% of the benefit with zero risk. Stay away from shady third-party APKs promising the impossible.