Edit in JSFiddle

 $(document).ready(function () {
                $(".thisDiv").hover(function () {
                    var className = $(this)[0].className;
                    $(this).removeClass(function (index, className) {
                        return className;
                    }).addClass('thisDiv');
                });
            });
<html>
        <head>
        <title>removeClass</title>
        </head>
        <body>
        <table>
        <tr>
        <td>
        <span class="thisDiv Green">
        Hover Me 1
        </span></td>
        <td>
        <span class="thisDiv Yellow">
        Hover Me 2
        </span></td>
        <td>
        <span class="thisDiv Aqua">
        Hover Me 3
        </span>
        </td>
        </tr>
        </table><br />
        <input type="button" value="Reset" onclick="location.reload()" />
        </body>
        </html>
.thisDiv
        {
        background-color:Red;
        width:200px;
        height:200px;
        display:block;
        }
        .Green
        {
        background-color:Green!important;
        }
        .Yellow
        {
        background-color:Yellow!important;
        }
        .Aqua 
        {
        background-color:aqua!important;
        }