@foreach (var b in ViewBag.Workers)
{
    <tr>
        <td><p>@b.Surname</p></td>
        <td><p>@b.Name</p></td>
        <td><p>@b.Patronymic</p></td>
        <td><p>@b.Position</p></td>
        <td>
            <form method="post" action="">
                <input type="hidden" value="@b.Id" name="WorkerId" />
                <input type="submit" value="Удалить" />
            </form>
        </td>
    </tr>
}

@foreach (var b in ViewBag.Workers)
{
    <tr>
        <td><p>@b.Surname</p></td>
        <td><p>@b.Name</p></td>
        <td><p>@b.Patronymic</p></td>
        <td><p>@b.Position</p></td>
        <td>
            <button data-id="@b.Id">Удалить</button>
        </td>
    </tr>
}

...

<script>
'use strict';

var urlToAction = '@Url.Action("RemoveItPlease", "Home")';

$(document).ready(function() {
    $('table button').click(function (e){
        var workerId = $(e.target).data('id');

        $.ajax({
            url: urlToAction,
            method: 'POST',
            data: { id: workerId }
        });
    });
});

</script>

....

public HomeController: Controller {
    [HttpPost]
    public ActionResult RemoveItPlease(int id) {
        ...
    }
}