<div class="slides-preview">
<button type="button" class="arrow-prev></button>
<div class="slide1">
   <div class="slide1-elm">
      <div class="header">Name slide 1 element 1</div>
      <div class="slide2">
         <span class="close">close</span>
         <div class="option"></div>
         <div class="option"></div>
         <div class="option"></div>
      </div>
   </div>
   <div class="slide1-elm">
      <div class="header">Name slide 1 element 2</div>
      <div class="slide2">
         <span class="close">close</span>
         <div class="option"></div>
         <div class="option"></div>
         <div class="option"></div>
      </div>
   </div>
   <div class="slide1-elm">
      <div class="header">Name slide 1 element 3</div>
      <div class="slide2">
         <span class="close">close</span>
         <div class="option"></div>
         <div class="option"></div>
         <div class="option"></div>
      </div>
   </div>
</div>
<button type="button" class="arrow-next></button>
</div>

.slide2 { display: none; }
button  { position: absolute; top: 0; }
.arrow-prev { left: 0; }
.arrow-next { right: 0; }
.close { }

$(document).ready(function(){

    function initCompSlide(){
        $('.slide1').not('.slick-initialized').slick({
            infinite: false,
            initialSlide: 0,
            slidesToShow: 4,
            slidesToScroll: 4,
            slickSetOption: true,
            prevArrow: $('button.arrow-prev'),
            nextArrow: $('button.arrow-next')
        });
    }

    function initOptSlide(elm){
        elm.not('.slick-initialized').slick({
            infinite: false,
            initialSlide: 0,
            slidesToShow: 4,
            slidesToScroll: 4,
            focusOnSelect: true,
            slickSetOption: true,
            prevArrow: $('button.arrow-prev'),
            nextArrow: $('button.arrow-next')
        });
    }

    initCompSlide();

    $(document).on('click', '.slide1-elm', function () {
        var optBlock = $(this).find('.slide2');
        initOptSlide(optBlock);
    });

    $(document).on('click', '.close', function (e) {
        e.stopPropagation();
        $('.slide2.slick-initialized').slick('unslick'); //notworking
        $('.slide2.slick-initialized').slick('setPosition'); //not working
    });

});