If I set a header X-Amz-Invocation-Type: 'Event', the call is done asynchronously but as the Amazon documentation states (https://docs.aws.amazon.com/apigateway/latest/developerguide/api-gateway-set-up-simple-proxy.html#api-gateway-simple-proxy-for-lambda-output-format), when one uses Proxy Lambda Integration, the lambda function must return a well formatted response of this kind:
callback(null, {"statusCode": 200, "body": "results"})
As the lambda function is called asynchronously, the API Gateway never get an answer and then return a 502 Bad Gateway error instead of a 200 OK status.
Below an extract of the swagger configuration:
"/myFunc": {
  "post": {
    "parameters": [
      {
        "name": "myparam",
        "in": "query",
        "required": true,
        "type": "string"
      }
    ],
    "responses": {
      "200": {
        "description": "200 response"
      }
    },
    "x-amazon-apigateway-request-validator": "Validate query string parameters and headers",
    "x-amazon-apigateway-integration": {
      "responses": {
        "default": {
          "statusCode": "200"
        }
      },
      "uri": "arn:aws:apigateway:ap-northeast-1:lambda:path/2015-03-31/functions/arn:aws:lambda:ap-northeast-1:idAccount:function:myFunc/invocations",
      "passthroughBehavior": "when_no_match",
      "httpMethod": "POST",
      "type": "aws_proxy",
      "requestParameters": {
        "integration.request.header.X-Amz-Invocation-Type": "'Event'"
      }
    }
  }
}
Is there a way to have it worked?