Disable your Wi-Fi and Mobile Data before opening the game. Some versions require you to tap "Play Offline" when prompted.
Since official servers are down, most modern versions of FIFA 16 on Android are "Offline Mods". To fix server connection errors:
If your zip file download is verified but failing to install, it is likely due to Android's recent security restrictions on the /obb and /data folders (common in Android 12, 13, and 14).