If I understand right, your question is how to READ data from Azure and have the data show up on ThingSpeak. It is not about having Azure automatically send the data to ThingSpeak. Am I correct?
If so, what you need to do is setup a MATLAB Analysis application that uses your Azure API keys to retrieve the data from Azure and use the thingSpeakWrite function to write it to a ThingSpeak channel. You can then tie this MATLAB code to a timecontrol so it executes on a clock.
Stepping back from the technical details for a minute, can you describe in detail what you are trying to achieve and what kind of data you want to bring into ThingSpeak from Azure?