Here is a simple timezone carousel to show time of different countries in carousel format. You can use Next and Previous button to show Next 4 countries time. I have shared you the corresponding php, html and css code. If you face any issue, feel free to comments.

<div id="time-carousel" class="time-carousel">
<?php
$timezone_identifiers = DateTimeZone::listIdentifiers(DateTimeZone::AMERICA | DateTimeZone::EUROPE);
foreach($timezone_identifiers as $timezone) {
$date = new DateTime('now', new DateTimeZone($timezone));
echo '<div class="time-carousel-item">';
echo '<h3>'.$timezone.'</h3>';
echo '<p>' . $date->format('H:i') . '</p>';
echo '</div>';
}
?>
</div>
<a href="#" id="prev">Previous</a>
<a href="#" id="next">Next</a>
<script>
jQuery(document).ready(function(){
var slideIndex = 0;
showSlides();
function showSlides() {
var i;
var slides = jQuery(".time-carousel-item");
for (i = 0; i < slides.length; i++) {
if(i < slideIndex || i >= slideIndex + 4) {
slides.eq(i).hide();
} else {
slides.eq(i).show();
}
}
}
jQuery("#prev").click(function(event){
event.preventDefault();
var slides = jQuery(".time-carousel-item");
slideIndex = Math.max(0, slideIndex - 4);
showSlides();
});
jQuery("#next").click(function(event){
event.preventDefault();
var slides = jQuery(".time-carousel-item");
slideIndex = Math.min(slides.length - 4, slideIndex + 4);
showSlides();
});
});
</script>
<style>
.time-carousel {
display: flex;
flex-wrap: wrap;
}
.time-carousel {
display: flex;
flex-wrap: wrap;
}
.time-carousel-item {
width: 25%;
padding: 10px;
text-align: center;
}
.time-carousel-item h3 {
font-size: 18px;
font-weight: bold !IMPORTANT;
}
</style>