JSFiddle - React, Tailwind, and code Playground

HTML

<span class="required"><input id="team" list="ItalanTeam"></span>
     <datalist id="ItalanTeam">
       <option value="Inter">
       <option value="Milan">
       <option value="Juve">
       <option value="Roma">
     </datalist>

CSS

input::-webkit-calendar-picker-indicator {
  display: none;/*remove default arrow in Chrome*/
}
.required:after {
    content: url(http://s25.postimg.org/6k40u5hcr/arrow.png);
    margin-left: 200px; 
    padding: .1em;
	pointer-events:none;/*make png cliccable*/
}