Can we migrate Quick Base Application to Azure?

That's probably a question for Azure.

You can build a web app hosted by Azure and communicate with QuickBase through API calls.

Azure is a cloud computing platform that has database components, but it is not a replacement for QB.  Azure, AWS and google cloud are all considered 'serverless' platforms that perform various aspects but non combine it into a usable platform for data entry/reading/reporting.

Quick Base apps run on the Quick Base platform as a service whose core is hosted by Quick Base. While app data can be connected (and exported) to other services and systems as noted above, apps themselves are dependent on the Quick Base platform which makes it possible for both business and IT professionals to build and customize apps without having to write any code. As a result, by design Quick Base apps are not able to be migrated to run on other cloud platforms.