Traffic Parrot has first-class support for the service virtualization as code pattern (also called API mocking as code).
If you have any state or configuration you manage in your IT infrastructure the best solution in most cases is to version control it in a source control system like Git. For example, if you are running on Kubernetes and Docker, your whole infrastructure might be defined in a source control repository as Dockerfiles and Terraform Kubernetes configuration files. Its called Infrastructure as code
It is advised to do the same with your API mocks and virtual services. All your mocks and virtual services should be stored in a version control system such as Git. In the case of Traffic Parrot, this is possible since all request to response mapping files are stored on the filesystem as JSON files. Alternatively, you can use the JUnit TrafficParrotRule directly in your JUnit tests. This way you are taking your automation to the next level, you have a fully automated and reproducible build pipeline.
Because of the issues that can arise with manual processes, avoid having API mocks and virtual services that are updated manually and never stored in Git or a similar source control system. Store all your API mocks and virtual services in a source control system.