Cron job would be appropriate to use. Here's an example of 3 nginx pods accepting all traffic, every minute, a Job curls 1 of the 3 pods (always the same pod).
apiVersion: apps/v1beta1
kind: Deployment
metadata:
name: main
labels:
app: nginx
spec:
replicas: 2
selector:
matchLabels:
app: nginx
template:
metadata:
labels:
app: nginx
spec:
containers:
- name: nginx
image: nginx:1.7.9
ports:
- containerPort: 80
---
apiVersion: apps/v1beta1
kind: Deployment
metadata:
name: singleton
labels:
app: nginx
special: singleton
spec:
replicas: 1
selector:
matchLabels:
app: nginx
special: singleton
template:
metadata:
labels:
app: nginx
special: singleton
spec:
containers:
- name: nginx
image: nginx:1.7.9
ports:
- containerPort: 80
---
kind: Service
apiVersion: v1
metadata:
name: allpods
spec:
selector:
app: nginx
ports:
- protocol: TCP
port: 80
targetPort: 80
---