如果使用statefulset，则需要首先部署服务。
这是我的服务。

apiVersion: v1
kind: Service
metadata:
  name: zookeeper
  labels:
    app: zookeeper
spec:
  clusterIP: None
  ports:
  - port: 2181
    name: client
  - port: 2888
    name: server
  - port: 3888
    name: leader-election
  selector:
    app: zookeeper

这里是configmap（稍后使用）：

apiVersion: v1
    kind: ConfigMap
    metadata:
      name: zookeeper-cm
    data:
      jvm.heap: "1G"
      tick: "2000"
      init: "10"
      sync: "5"
      client.cnxns: "60"
      snap.retain: "3"
      purge.interval: "0"

这是我的状态集：

apiVersion: apps/v1beta1
kind: StatefulSet
metadata:
  name: zookeeper
spec:
  serviceName: zookeeper
  replicas: 1
  template:
    metadata:
      labels:
        app: zookeeper
    spec:
      affinity:
        podAntiAffinity:
          requiredDuringSchedulingIgnoredDuringExecution:
            - labelSelector:
                matchExpressions:
                  - key: "app"
                    operator: In
                    values:
                    - zookeeper
              topologyKey: "kubernetes.io/hostname"
      containers:
      - name: zookeeper
        imagePullPolicy: IfNotPresent
        image: sorintdev/zookeeper:20171204m
        resources:
          requests:
            memory: 500Mi
            cpu: 200m
        ports:
        - containerPort: 2181
          name: client
        - containerPort: 2888
          name: server
        - containerPort: 3888
          name: leader-election
        env:
        - name : ZK_REPLICAS
          value: "1"
        - name : ZK_HEAP_SIZE
          valueFrom:
            configMapKeyRef:
                name: zookeeper-cm
                key: jvm.heap
        - name : ZK_TICK_TIME
          valueFrom:
            configMapKeyRef:
                name: zookeeper-cm
                key: tick
        - name : ZK_INIT_LIMIT
          valueFrom:
            configMapKeyRef:
                name: zookeeper-cm
                key: init
        - name : ZK_SYNC_LIMIT
          valueFrom:
            configMapKeyRef:
                name: zookeeper-cm
                key: tick
        - name : ZK_MAX_CLIENT_CNXNS
          valueFrom:
            configMapKeyRef:
                name: zookeeper-cm
                key: client.cnxns
        - name: ZK_SNAP_RETAIN_COUNT
          valueFrom:
            configMapKeyRef:
                name: zookeeper-cm
                key: snap.retain
        - name: ZK_PURGE_INTERVAL
          valueFrom:
            configMapKeyRef:
                name: zookeeper-cm
                key: purge.interval
        - name: ZK_CLIENT_PORT
          value: "2181"
        - name: ZK_SERVER_PORT
          value: "2888"
        - name: ZK_ELECTION_PORT
          value: "3888"
        command:
        - bash
        - -c
        - zkGenConfig.sh && zkServer.sh start-foreground
        readinessProbe:
          exec:
            command:
            - "zkOk.sh"
          initialDelaySeconds: 10
          timeoutSeconds: 5
        livenessProbe:
          exec:
            command:
            - "zkOk.sh"
          initialDelaySeconds: 10
          timeoutSeconds: 5
        volumeMounts:
        - name: data
          mountPath: /var/lib/zookeeper
      securityContext:
        runAsUser: 1000
        fsGroup: 1000
  volumeClaimTemplates:
  - metadata:
      name: data
    spec:
      resources:
        requests:
          storage: 1Gi
      accessModes:
      - ReadWriteOnce
      storageClassName: zookeeper-class

在您部署了一个正常工作的zookeeper配置并且他们选择了一个主机之后，您可以继续kafka部署。
一旦zookeeper部署完毕，您的kafka配置必须通过服务引用zookeeper StatefolSet。在Kafka中，必须定义/覆盖此属性：

--override zookeeper.connect=zookeeper-0.zookeeper:2181

从一个豆荚里你应该 ping zookeeper-0.zookeeper 成功。
希望这有帮助。