Example API Connection ARM Template

template_apiconnection.json

{
    "$schema": "https://schema.management.azure.com/schemas/2015-01-01/deploymentTemplate.json#",
    "contentVersion": "1.0.0.0",
    "parameters": {
        "environmentName": {
            "type": "string"
        },
        "resourceType": {
            "type": "string",
            "defaultValue": "eventhubs"
        },
        "resourceName": {
            "type": "string",
            "defaultValue": "trackinghub"
        },
        "policy": {
            "type": "string",
            "defaultValue": "mylogicapp"
        },
        "conectionEventHub": {
            "type": "string"
        }
    },
    "variables": {
        "connections_eventhubs_name": "eventhubs",
        "namespaceName": "[concat('my', parameters('environmentName'), 'eventhub')]"            
    },
    "resources": [
        {
            "type": "Microsoft.Web/connections",
            "apiVersion": "2016-06-01",
            "name": "[variables('connections_eventhubs_name')]",
            "location": "[resourceGroup().location]",
            "properties": {
                "displayName": "mylogicapp",
                "customParameterValues": {},
                "api": {
                    "id": "[concat('subscriptions/', subscription().subscriptionId, '/providers/Microsoft.Web/locations/', resourceGroup().location, '/managedApis/',variables('connections_eventhubs_name'))]"
                },
                "parameterValues": {
                    "connectionString": {
                        "type": "Custom",
                        "value": "[parameters('conectionEventHub')]"
                    }
                }
            }
        }
    ]
}