The APIMatic Kubernetes Operator simplifies the deployment of containerized applications, including APIs, in on-premise production environments by providing a straightforward setup process that cuts down deployment time to minutes, allowing users to get up and running with APIMatic quickly. The operator offers features such as deploying APIMatic CodeGen Web API service within a Kubernetes or OpenShift cluster, exposing the service externally, and manual horizontal scaling of pods. To deploy the operator, users need to meet certain requirements, including installing specific tools and software, and then follow a direct deployment process that involves cloning the repository, running commands, and creating necessary resources such as secrets and configmaps. Once deployed, users can access the exposed APIMatic CodeGen API service and generate API SDKs and Docs using various tools.