[Solved]-How to hide a highcharts pie slice programatically-Highcharts

You can use setVisible function:

    $('#button').click(function () {
    if(sliced)
        chart.series[0].data[0].setVisible(true);
    else
chart.series[0].data[0].setVisible(false);

        sliced=!sliced;
    });

http://jsfiddle.net/f3Lx6cxk/1/