DataTables read ajax response with your own parameters

Old question, but i'll try to answer may need for future, because i have exactly same problem and after looking for their documentation i found drawCallback.

From your code:

var myTable = $('#myTable').DataTable( {
    "serverSide": true,
    "ajax": { 
        "url" : "/response.php",
        "method" : "POST"
    },
    "drawCallback": function (settings) { 
        // Here the response
        var response = settings.json;
        console.log(response);
    },
});