Techniques are described for a network providing network defined edge routing for an application workload. For example, a controller receives element registration information for each module hosted on a set of interconnected edge data centers and for one or more network devices that interconnect the modules in the network; obtain one or more routing metrics of the network; compute, based on the element registration information and the one or more routing metrics, one or more paths mapped to respective traffic classes to route traffic via the set of interconnected edge data centers; receive a request to route traffic according to a traffic class; and in response, send, to the set of interconnected edge data centers, a response specifying a path of the one or more paths that is mapped to the traffic class to cause the set of interconnected edge data centers to route traffic according to the traffic class.