To play God of War 3 on Android in 2021, you generally cannot run a native .apk file. Instead, most "God of War 3 Android" versions are actually the PSP titles (Chains of Olympus or Ghost of Sparta) modified with HD textures to look like the third installment, or they are PS3 ROMs designed to run via cloud gaming or early-stage experimental emulators.
While you cannot download a compressed version, you could play the game on your Android device in 2021 using these three legal methods: God Of War 3 Highly Compressed Download For Android 2021