Você pode inspecionar os detalhes de um Deployment utilizando o comando kubectl describe. O resultado não fornece apenas informações sobre o número e a disponibilidade das réplicas mas também apresenta a referência ao ReplicaSet. Inspecionando o ReplicaSet ou os Pods replicados obtemos as referências ao objeto pai que o gerencia.

# Obtendo detalhes do Deployment
$ kubectl describe deployments.apps my-deploy
	Name:                   my-deploy
	Namespace:              develop
	Labels:                 app=my-deploy
	                        section=06-pod-design
	(...)
	Selector:               app=my-deploy
	Replicas:               1 desired | 1 updated | 1 total | 1 available | 0 unavailable
	(...)
	Pod Template:
  Labels:  app=my-deploy
	(...)
	**NewReplicaSet:   my-deploy-79fbb965cd (1/1 replicas created)**
	(...)
	Events:
	  Type    Reason             Age   From                   Message
	  ----    ------             ----  ----                   -------
	  Normal  ScalingReplicaSet  19m   deployment-controller  Scaled up replica set my-deploy-79fbb965cd to 1

# Obtendo detalhes do ReplicaSet
$ kubectl describe replicasets.apps my-deploy-79fbb965cd
	Name:           my-deploy-79fbb965cd
	Namespace:      develop
	Selector:       app=my-deploy,pod-template-hash=79fbb965cd
	Labels:         app=my-deploy
	                pod-template-hash=79fbb965cd
	Annotations:    deployment.kubernetes.io/desired-replicas: 1
	                deployment.kubernetes.io/max-replicas: 2
	                deployment.kubernetes.io/revision: 1
	**Controlled By:  Deployment/my-deploy**
	Replicas:       1 current / 1 desired
	Pods Status:    1 Running / 0 Waiting / 0 Succeeded / 0 Failed
	Pod Template:
	  Labels:  app=my-deploy
	           pod-template-hash=79fbb965cd
		(...)
	Events:
	  Type    Reason            Age   From                   Message
	  ----    ------            ----  ----                   -------
	  Normal  SuccessfulCreate  22m   replicaset-controller  **Created pod: my-deploy-79fbb965cd-kj5pk**

# Obtendo detalhes do Pod
$ kubectl describe pods my-deploy-79fbb965cd-kj5pk
	Name:         my-deploy-79fbb965cd-kj5pk
	Namespace:    develop
	Labels:       app=my-deploy
	              pod-template-hash=79fbb965cd
	**Controlled By:  ReplicaSet/my-deploy-79fbb965cd**