Azure web application features block ICMP. Thus, you cannot use Ping and Tracert on PowerShell and CMD. However, I recommend that you use tcpping on the kudu console on the Azure website.
PS D:\home> tcpping www.hotmail.com Connected to www.hotmail.com:80, time taken: 204ms Connected to www.hotmail.com:80, time taken: 140ms Connected to www.hotmail.com:80, time taken: 140ms Connected to www.hotmail.com:80, time taken: 140ms Complete: 4/4 successfull attempts (100%). Average success time: 156ms PS D:\home>
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