If you have bigger version than v4.9 of Highcharts you can use visible: false in the xAxis and yAxis settings.
Example:
$('#container').highcharts({
chart: {
type: 'column'
},
title: {
text: 'Highcharts axis visibility'
},
xAxis: {
visible: false
},
yAxis: {
title: {
text: 'Fruit'
},
visible: false
}
});