Draw a slash line over glyphicon or font-awesome icon using CSS

I suggest to use .fa-ban icon that will cover the wi-fi icon.
Please see an example.

#container {
  position: relative
}

#nested {
  position: absolute;
  top: -8px;
  left: -8px;
  font-size: 200%;
  color: rgba(217, 83, 79, 0.7);
}
<link href="https://maxcdn.bootstrapcdn.com/font-awesome/4.3.0/css/font-awesome.min.css" rel="stylesheet"/>
<h4>
  <i class="fa fa-rss" id="container">
    <i class="fa fa-ban" id="nested"></i>
  </i>
</h4>

Font awesome uses the :before tag for icons, why not use the :after pseudo and .fa.fa-signal:after {content: "/"; color: red;} and position it with css.

.fa.fa-signal:after {
  position: absolute;
  content: "/";
  color: red;
  font-weight: 700;
  font-size: 1.7em;
  left: 7px;
  top: -10px;
}
<link rel="stylesheet" href="//maxcdn.bootstrapcdn.com/font-awesome/4.3.0/css/font-awesome.min.css">

<i class="fa fa-signal fa-2x"></i>