How we can use goTo(slidenumber) in nz-carousel? If I wanted to go at specific slide number directly

Use ViewChild to get the component instance and use the instance methods.

  index = 0;

  @ViewChild(NzCarouselComponent, { static: false }) myCarousel: NzCarouselComponent;

  goTo() {
    this.myCarousel.goTo(Number(this.index));
  }

https://stackblitz.com/edit/angular-6rsuzz?file=src/app/app.component.ts