AWS API Gateway Custom Authorizer log

How do get logging from custom authorizer lambda function in API Gateway? I do not want to enable logging for API. I need logging from authorizer lambda function. I use a python lambda function and have prints in the code. I want to view the prints in Cloud Watch logs. But logs are not seen in cloud watch. I do not get errors either. What am I missing?
Lambda has execution role role/service-role/MyLambdaRole. This role has the policy to write to cloud watch.

{
    "Version": "2012-10-17",
    "Statement": [
        {
            "Effect": "Allow",
            "Action": "logs:CreateLogGroup",
            "Resource": "arn:aws:logs:us-east-1:123456:*"
        },
        {
            "Effect": "Allow",
            "Action": [
                "logs:CreateLogStream",
                "logs:PutLogEvents"
            ],
            "Resource": [
                "arn:aws:logs:us-east-1:123456:log-group:MyCustomAuthorizer:*"
            ]
        }
    ]
}

I also tested by adding CloudWatchLogsFullAccess policy to role/service-role/MyLambdaRole role.

{
  "Version": "2012-10-17",
  "Statement": [
    {
      "Action": [
        "logs:*"
      ],
      "Effect": "Allow",
      "Resource": "*"
    }
  ]
}