import { DebugElement } from '@angular/core';
in describe:
let debugElement: DebugElement;
let debugTaskService: TaskService; // Where TaskService is the private servie we want to spy on
in before each after testbed creation and fixture decalred
debugElement = fixture.debugElement;
In test:
debugTaskService = debugElement.injector.get(TaskService);
let tSpy = spyOn(debugTaskService, 'cancelOrder').and.callThrough();
For working example look at transcribe-fax.component.spec.ts