Before installing the game make sure your device meets minimum system requirements.
1) Download client from the game's site: https://warthunder.com/en/
2) Run file
3) Transfer game icon to Applications folder
4) Go to Application folder and Run War thunder launcher via context menu
In case of an unsuccessful run due to device security settings go to Settings - > Security & Privacy and confirm War thunder launcher rights by pressing “open anyway”. Launcher will run after confirming rights.