You’ll need to sign into your Google account on a mobile phone in order to access and use the apps on it. This step is essential especially when you change a new account or get a new phone. However, a lot of users reported the same issue – they can't sign into Google account on Android phone. A Couldn't sign in prompt window shows up and says:

There was a problem communicating with Google servers.Try again later.

你需要在手机上登录谷歌账户，才能访问和使用手机上的应用程序。这一步是必要的，尤其是当你换了一个新账户或买了一个新手机。然而，很多用户报告了同样的问题——他们无法在安卓手机上登录谷歌账户。出现“无法登录”提示窗口，提示如下:

与谷歌服务器的通信出现了问题。请稍后再试。

Useful Solutions to Fix the Problem:

Solution 1: Check Connectivity
You should first go to check the connectivity and the network connection.  You can try to enable the flight mode, wait for a while, and disable the mode.

Solution 2: Check Date and Time
Open Settings -> select Date and Time -> check whether the date and the time are set correctly.  You may Use Network Service Provider Time.

Solution 3: Remove & Re-add the Account
You can also try to fix the issue by removing the Google account that has been added to your phone and adding the account again.

Solution 4: Clear Cache
Open the Apps tray and select Settings.
Choose Apps.
Look for the Google Account Manager.
Click on the CLEAR DATA button.
Click CLEAR CACHE.
Wait for the process to finish.
Also, you need to repeat these steps to clear cache of Google Play Store, Google Play Services, and Google Services framework.

解决方法1:检查连通性
您应该首先去检查连接和网络连接。您可以尝试启用飞行模式，等待一段时间，然后禁用该模式。

解决方案2:检查日期和时间
打开设置->选择日期和时间->检查日期和时间设置是否正确。您可以使用网络服务提供商时间。

解决方案3:删除并重新添加帐户
你也可以通过删除已经添加到手机上的谷歌账户，然后重新添加这个账户来解决这个问题。

解决方案4:清空缓存
打开应用程序托盘，选择设置。
选择应用程序。
找谷歌客户经理。
点击CLEAR DATA按钮。
单击“清空缓存”。
等待该进程完成。
此外，你需要重复这些步骤来清除Google Play Store、Google Play Services和Google Services框架的缓存。