Hi malar,
Check this example. Now please take its reference and correct your code.
Controller
public class HomeController : Controller
{
    // GET: Home
    public ActionResult Index()
    {
        return View();
    }
    [HttpPost]
    public JsonResult AjaxMethod()
    {
        return Json("");
    }
}
View
@{
    Layout = null;
}
<!DOCTYPE html>
<html>
<head>
    <meta name="viewport" content="width=device-width" />
    <title>Index</title>
</head>
<body class="container">
    <div style="width: 500px">
        <table class="table table-striped table-bordered table-hover" id="tblCustomers">
            <thead>
                <tr>
                    <th>ID</th>
                    <th>Name</th>
                    <th>Country</th>
                </tr>
            </thead>
            <tbody>
                <tr style="height:5px;">
                    <td>1</td>
                    <td>John Hammond</td>
                    <td>United States</td>
                </tr>
                <tr style="height:5px;">
                    <td>2</td>
                    <td>Mudassar Khan</td>
                    <td>India</td>
                </tr>
                <tr style="height:5px;">
                    <td>3</td>
                    <td>Suzanne Mathews</td>
                    <td>France</td>
                </tr>
                <tr style="height:5px;">
                    <td>4</td>
                    <td>Robert Schidner</td>
                    <td>Russia</td>
                </tr>
            </tbody>
        </table>
        <input id="btnRemove" type="button" value="Remove Plugin" />
    </div>
    <script type="text/javascript" src="https://ajax.googleapis.com/ajax/libs/jquery/1.8.3/jquery.min.js"></script>
    <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.2/css/bootstrap.min.css" />
    <script type="text/javascript" src="https://cdn.datatables.net/1.10.20/js/jquery.dataTables.min.js"></script>
    <link rel="stylesheet" type="text/css" href="https://cdn.datatables.net/1.10.20/css/jquery.dataTables.css" />
    <script type="text/javascript">
        $(function () {
            $("#tblCustomers").DataTable();
            $("#btnRemove").click(function () {
                $.ajax({
                    type: "POST",
                    url: "/Home/AjaxMethod",
                    data: '{}',
                    contentType: "application/json; charset=utf-8",
                    dataType: "json",
                    success: function (response) {
                        var table = $('#tblCustomers').DataTable();
                        table.destroy();
                    },
                    failure: function (response) {
                        alert(response.d);
                    },
                    error: function (response) {
                        alert(response.d);
                    }
                });
            });
        });
    </script>
</body>
</html>