Final answer:
The suggested methodology to push changes to production as soon as the code has passed testing is continuous deployment, an automated process that ensures stable code changes are immediately deployed to a production environment.
Step-by-step explanation:
The methodology being suggested for Fictional Corp. to push changes to production as soon as the code has passed testing is continuous deployment. Continuous deployment is a software release process that uses automated testing to validate if changes to a codebase are correct and stable for immediate deployment to a production environment. This differs from continuous delivery which requires a manual step to deploy changes to production, and continuous integration, which focuses solely on the integration of new code to ensure it does not break the build.