highcharts hide zoom reset button, call zoom reset programmatically

You can pass resetZoomButton as display: none and call zoomOut.

chart: {
    resetZoomButton: {
        theme: {
            display: 'none'
        }
    }
}

$('#resetZoom').click(function() {
    chart.zoomOut();
});

<input type="button" value="reset zoom" id="resetZoom"/>

Demo