Utilisez Jquery et CSS pour implémenter le bouton de réinitialisation de la zone de sélection (exemple de code)

<select>
    <option value="">Select a color..</option>
    <option value="red">Red</option>
    <option value="green">Green</option>
    <option value="blue">Blue</option>
</select>
<div class="displaySelect">
    <span class="value"></span>
    <span class="close">⊗</span>
 </div>

.displaySelect{
    display:none;
    border: 1px solid;
    }
    select, .displaySelect {
    text-indent:20px;
    font-family:helvetica;
    }
    select, .displaySelect{
    font-size:22px;
    height:50px;
    line-height:50px;
    width:100%;
    text-transform:capitalize;
    }
    .displaySelect .close{
    display:block;
    float:right;
    width:10%;
    text-align:center;
    font-size:52px;
    cursor:pointer;
    }

var select        = $('select');
var selectResults = $('.displaySelect');
var selectValue   = $('.value', selectResults);
var selectClose   = $('.close', selectResults);
select.on('change', function() {
    $(this).add(selectResults).toggle();
    selectValue.html(this.value);
    });
    selectClose.click(function(){
    select.val('').fadeIn();
    selectResults.toggle();
    selectValue.html('');
    });