I just did this for one of my current projects.
You just have to change the location of the navigation HTML buttons and put them outside the swiper-container. For a better approach and behavior from the library, add a new class to them, and change the element in the JavaScript call.
Example:
<div class="swiper-container">
<div class="swiper-slides"></div>
</div>
<div class="swiper-button-prev-unique"></div>
<div class="swiper-button-next-unique"></div>
let carousel = new Swiper('.swiper-container', {
navigation: {
nextEl: '.swiper-button-next-unique',
prevEl: '.swiper-button-prev-unique'
}
});
That worked perfect, and you can put your arrows outside the wrapper with ease with CSS.