I found a solution to remove the arrow using the Foundation.
Inside the archive Foundation.css, commented on the line background-image, and added -webkit-appearance: none !important;
select {
  -webkit-appearance: none !important;
  -webkit-border-radius: 0px;
  background-color: #fafafa;
  /*background-image:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHZlcnNpb249IjEuMSIgeD0iMTJweCIgeT0iMHB4IiB3aWR0aD0iMjRweCIgaGVpZ2h0PSIzcHgiIHZpZXdCb3g9IjAgMCA2IDMiIGVuYWJsZS1iYWNrZ3JvdW5kPSJuZXcgMCAwIDYgMyIgeG1sOnNwYWNlPSJwcmVzZXJ2ZSI+PHBvbHlnb24gcG9pbnRzPSI1Ljk5MiwwIDIuOTkyLDMgLTAuMDA4LDAgIi8+PC9zdmc+);*/
  background-position: 100% center;
  background-repeat: no-repeat;
  border: 1px solid #cccccc;
  padding: 0.5rem;
  font-size: 0.875rem;
  color: rgba(0, 0, 0, 0.75);
  line-height: normal;
  border-radius: 0;
  height: 2.3125rem; 
}
							
							
						 
In IE also does not work, I think it would be interesting to add in which browsers this code works.
– Randrade
This solution did not work on IE11
– Tiago Ferezin