JSFiddle - React, Tailwind, and code Playground

HTML

<select name="Zakaz[status]" id="zakaz-status">
  <option value="3">Дизайнер</option>
   <option value="4">Мастер</option>
    <option value="8" selected>Аутсорс</option>
</select>
<select name="autsors" id="autsors-select">
<option>Выберите партнера</option>
<option value="1">Привет</option>
<option value="2" selected>Мир</option>
</select>

CSS

#autsors-select{
  display: block;
}

JavaScript

$(document).ready(function(){
	$('#zakaz-status').change(function(){
    $('#autsors-select')
    	.css({'display': ($(this).val() == 8 ? 'block' : 'none')})
    	.prop('selectedIndex', 0);
  });
})