Cradle of Empires shows the No Internet/Poor Connection message when your connection isn't stable enough to sync or the network responds slowly – even if your Internet seems fast.
Let's try the following steps:
1 - Restart your device. Press your device's power button for about 30 seconds, until your device restarts.
2 - Please make sure other apps that require Internet connection work fine.
3 - Make sure you have stable Internet signal (for example, you are not far from your modem if you are using Wi-Fi) and open the game. You may need to reboot your modem/router. Keep in mind that sometimes networks get overloaded or malfunction, meaning that the connection may not be stable regardless of what the indicator says.
4 - Make sure you are not running out of free space on your device. To check your free space go to Settings of your Kindle > Device Options > Storage. The game can't probably download required content to continue.
If you still experience this issue and other apps that require Internet connection work fine please send us a message to support@awem.com or you can send it from within the game as described here.