Copy this code in the description of a custom field (in the Field Configuration linked to the project)
<script type="text/javascript">
(function($) {
AJS.toInit(function(){
// init on load
AJS.$("#qf-field-picker-trigger").hide();
})
JIRA.bind(JIRA.Events.NEW_CONTENT_ADDED, function (e, context) {
// init on refresh
AJS.$("#qf-field-picker-trigger").hide();
});
})(AJS.$);
</script>
Result:






