The 3rd-gen Fire TV Stick and the Fire TV Stick Lite have been rooted. XDA forum user k4y0z has posted instructions for how to root either device, which currently requires the Firestick be on Fire OS version 7.2.7.3 or older.
How to Root firestick, Unbrick firestick & flash pre-rooted rom custom
Fire TV Stick riceve Android TV 11 grazie a questa ROM
כתב אהוב פשוטו כמשמעו twrp android tv box סימפוניה שבועה סחורה שונה
Tv Fire Stick - Temu
Fire TV Stick 4K (-mantis) - postmarketOS
All New! Latest 3rd Gen Fire TV Stick with 2 Elite Kodi Builds 20+ Apps
TWRP AFTVnews
Rooting an Fire TV Stick 4K » Miguel Mota
2nd-gen Fire TV Stick hack: Unlock the bootloader, install custom recovery - Liliputing
Fire TV Stick 3 and Fire TV Stick Lite have been rooted — Custom TWRP Recovery and Custom LineageOS Android 11 ROM available
root XDA Developers
Rooting an Fire TV Stick 4K » Miguel Mota
כתב אהוב פשוטו כמשמעו twrp android tv box סימפוניה שבועה סחורה שונה
כתב אהוב פשוטו כמשמעו twrp android tv box סימפוניה שבועה סחורה שונה
How to Root the Fire TV 2, install TWRP Recovery, and ROM - ALL WITHOUT A COMPUTER