JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" type="text/css" href="/media/css/site-examples.css?_=19472395a2969da78c8a4c707e72123a">
<link rel="stylesheet" type="text/css" href="https://cdn.datatables.net/1.10.19/css/jquery.dataTables.min.css">
<link rel="stylesheet" type="text/css" href="https://cdn.datatables.net/buttons/1.5.2/css/buttons.dataTables.min.css">
<script type="text/javascript" language="javascript" src="https://code.jquery.com/jquery-3.3.1.js"></script>
<script type="text/javascript" language="javascript" src="https://cdn.datatables.net/1.10.19/js/jquery.dataTables.min.js"></script>
<script type="text/javascript" language="javascript" src="https://cdn.datatables.net/buttons/1.5.2/js/dataTables.buttons.min.js"></script>
<script type="text/javascript" language="javascript" src="https://cdn.datatables.net/buttons/1.5.2/js/buttons.colVis.min.js"></script>
<select id="dropdown1" class="form-control filter-table" data-column="language">

  <option selected>Alle Sprachen</option>
  <option value="GER">Deutsch</option>
  <option value="ENG">Englisch</option>
</select>
<table id="example" class="display" cellspacing="0" width="100%">
<thead>
            <tr>
                <th>Greeting</th>
                <th>Language</th>
            </tr>
        </thead>
<tr>
  <td>Hello</td>  <td data-language="ENG">Englisch</td>
</tr>
<tr>
  <td>Hello</td>  <td data-language="GER">German</td>
</tr>
</table>

JavaScript

$(document).ready(function() {
   var table =  $('#example').DataTable();
    
     $('#dropdown1').on('change', function () {
     			if(this.value=="Alle Sprachen")
          {
          table.columns(1).search('').draw();
          }
          else
          {
          table.columns(1).search( this.value ).draw();
          }                   
   } );

});