For pre 10.0 servers using REST.use Query operation - escape single quote with another single quote<a href="http://servername/ArcGIS/rest/services/escape/MapServer/0/query?text=Single" target="_blank">http://servername/ArcGIS/rest/services/escape/MapServer/0/query?text=Single</a> quote ('') in Text&f=pjson<a href="http://servername/ArcGIS/rest/services/escape/MapServer/0/query?where=TEXTFIELD" target="_blank">http://servername/ArcGIS/rest/services/escape/MapServer/0/query?where=TEXTFIELD</a> = 'Single quote ('') in Text'