Application development teams commonly use separate Azure API Management service instances for various environments, such as production, staging, and QA. These environments are usually shared by multiple development teams, each responsible for a subset of APIs.
Microsoft is working on guidance, samples, and open source tools that will enable you to automate API deployment to shared environments, and by multiple teams, without interfering with each other.
To vote and share your thoughts on this development, please see API DevOps with Azure API Management.