The process of releasing an Android app involves sufficient testing and the use of software development practices such as continuous integration and continuous delivery to reduce cycle times for delivering new changes. To migrate an Android app from Jenkins to Bitrise, one needs to create a new Bitrise account, set up repository access, validate configuration, and configure environment variables. The workflow editor is used to add steps such as cloning the repository, configuring Google service accounts, building the app, running unit tests on Firebase Test Lab, distributing the app through Firebase App Distribution, deploying the signed APK into production through the Google Play Console, and sending notifications about build statuses to the team. Once set up, the workflow can be run manually or scheduled using GitHub tags or branches, allowing for seamless building and releasing of applications with minimal effort.