Для анимации необхимо создать элемент:

<a id="popup__toggle" onclick="return false;" style="cursor:pointer;">
<div class="ringanime visible-title">
<div class="circlephone visible-title" style="transform-origin: center;"></div>
<div class="circle-fill visible-title" style="transform-origin: center;"></div>
<div class="img-circle visible-title" style="transform-origin: center;"><div class="img-circleblock visible-title" style="transform-origin: center;"></div>
</div></div><span class="ringtext">Телефон: ххх-хх-ххх</span></a>

В собатии onclick нужно вызвать вашу форму обратной связи

Далее CSS правила для анимации:

.ringanime{float:left;position: relative;top: 68px;}
.ringtext{float:right;}
#popup__toggle{display: inline-block;width: 320px;bottom:-25px;left:10px;position:relative;z-index:999;}
.img-circle{background-color:#29AEE3;box-sizing:content-box;-webkit-box-sizing:content-box;}
.circlephone{box-sizing:content-box;-webkit-box-sizing:content-box;border: 2px solid #29AEE3;width:100px;height:100px;bottom:1px;left:35px;position:absolute;-webkit-border-radius:100%;-moz-border-radius: 100%;border-radius: 100%;opacity: .5;-webkit-animation: circle-anim 2.4s infinite ease-in-out !important;-moz-animation: circle-anim 2.4s infinite ease-in-out !important;-ms-animation: circle-anim 2.4s infinite ease-in-out !important;-o-animation: circle-anim 2.4s infinite ease-in-out !important;animation: circle-anim 2.4s infinite ease-in-out !important;-webkit-transition: all .5s;-moz-transition: all .5s;-o-transition: all .5s;transition: all 0.5s;}
.circle-fill{box-sizing:content-box;-webkit-box-sizing:content-box;background-color:#29AEE3;width:70px;height:70px;bottom:16px;left:50px;position:absolute;-webkit-border-radius: 100%;-moz-border-radius: 100%;border-radius: 100%;border: 2px solid transparent;-webkit-animation: circle-fill-anim 2.3s infinite ease-in-out;-moz-animation: circle-fill-anim 2.3s infinite ease-in-out;-ms-animation: circle-fill-anim 2.3s infinite ease-in-out;-o-animation: circle-fill-anim 2.3s infinite ease-in-out;animation: circle-fill-anim 2.3s infinite ease-in-out;-webkit-transition: all .5s;-moz-transition: all .5s;-o-transition: all .5s;transition: all 0.5s;}
.img-circle{box-sizing:content-box;-webkit-box-sizing:content-box;width:52px;height:52px;bottom: 25px;left: 59px;position:absolute;-webkit-border-radius: 100%;-moz-border-radius: 100%;border-radius: 100%;border: 2px solid transparent;opacity: .7;}
.img-circleblock{box-sizing:content-box;-webkit-box-sizing:content-box;width:52px;height:52px;background-image:url(/images/mini.png);background-position: center center;background-repeat:no-repeat;animation-name: tossing;-webkit-animation-name: tossing;animation-duration: 1.5s;-webkit-animation-duration: 1.5s;animation-iteration-count: infinite;-webkit-animation-iteration-count: infinite;}
.img-circle:hover{opacity: 1;}
@keyframes pulse {0% {transform: scale(0.9);opacity: 1;}
 50% {transform: scale(1); opacity: 1; } 
 100% {transform: scale(0.9);opacity: 1;}}
 @-webkit-keyframes pulse {0% {-webkit-transform: scale(0.95);opacity: 1;}
 50% {-webkit-transform: scale(1);opacity: 1;} 
 100% {-webkit-transform: scale(0.95);opacity: 1;}}
@keyframes tossing {
 0% {transform: rotate(-8deg);}
 50% {transform: rotate(8deg);}
 100% {transform: rotate(-8deg);}}
@-webkit-keyframes tossing {
 0% {-webkit-transform: rotate(-8deg);}
 50% {-webkit-transform: rotate(8deg);}
 100% {-webkit-transform: rotate(-8deg);}}
@-moz-keyframes circle-anim {
 0% {-moz-transform: rotate(0deg) scale(0.5) skew(1deg);opacity: .1;-moz-opacity: .1;-webkit-opacity: .1;-o-opacity: .1;}
 30% {-moz-transform: rotate(0deg) scale(0.7) skew(1deg);opacity: .5;-moz-opacity: .5;-webkit-opacity: .5;-o-opacity: .5;}
 100% {-moz-transform: rotate(0deg) scale(1) skew(1deg);opacity: .6;-moz-opacity: .6;-webkit-opacity: .6;-o-opacity: .1;}}
@-webkit-keyframes circle-anim {
 0% {-webkit-transform: rotate(0deg) scale(0.5) skew(1deg);-webkit-opacity: .1;}
 30% {-webkit-transform: rotate(0deg) scale(0.7) skew(1deg);-webkit-opacity: .5;}
 100% {-webkit-transform: rotate(0deg) scale(1) skew(1deg);-webkit-opacity: .1;}}
@-o-keyframes circle-anim {
 0% {-o-transform: rotate(0deg) kscale(0.5) skew(1deg);-o-opacity: .1;}
 30% {-o-transform: rotate(0deg) scale(0.7) skew(1deg);-o-opacity: .5;}
 100% {-o-transform: rotate(0deg) scale(1) skew(1deg);-o-opacity: .1;}}
@keyframes circle-anim {
 0% {transform: rotate(0deg) scale(0.5) skew(1deg);opacity: .1;}
 30% {transform: rotate(0deg) scale(0.7) skew(1deg);opacity: .5;}
 100% {transform: rotate(0deg) scale(1) skew(1deg);
opacity: .1;}}
@-moz-keyframes circle-fill-anim {
 0% {-moz-transform: rotate(0deg) scale(0.7) skew(1deg);opacity: .2;}
 50% {-moz-transform: rotate(0deg) -moz-scale(1) skew(1deg);opacity: .2;}
 100% {-moz-transform: rotate(0deg) scale(0.7) skew(1deg);opacity: .2;}}
@-webkit-keyframes circle-fill-anim {
 0% {-webkit-transform: rotate(0deg) scale(0.7) skew(1deg);opacity: .2; }
 50% {-webkit-transform: rotate(0deg) scale(1) skew(1deg);opacity: .2; }
 100% {-webkit-transform: rotate(0deg) scale(0.7) skew(1deg);opacity: .2;}}
@-o-keyframes circle-fill-anim {
 0% {-o-transform: rotate(0deg) scale(0.7) skew(1deg);opacity: .2;}
 50% {-o-transform: rotate(0deg) scale(1) skew(1deg);opacity: .2;}
 100% {-o-transform: rotate(0deg) scale(0.7) skew(1deg);opacity: .2;}}
@keyframes circle-fill-anim {
 0% {transform: rotate(0deg) scale(0.7) skew(1deg);opacity: .2;}
 50% {transform: rotate(0deg) scale(1) skew(1deg);opacity: .2;}
 100% {transform: rotate(0deg) scale(0.7) skew(1deg);opacity: .2;}}