Keep Bootstrap dropdown open on click

Try removing the propagation on the button itself like so:

$('.dropdown-menu a.removefromcart').click(function(e) {
    e.stopPropagation();
});

Edit

Here is a demo from the comments with the solution above:

http://jsfiddle.net/andresilich/E9mpu/

Relevant code:

JS

$(".removefromcart").on("click", function(e){
    var fadeDelete = $(this).parents('.product');
    $(fadeDelete).fadeOut(function() {
        $(this).remove();
    });

    e.stopPropagation();
});

HTML

<div id="shoppingcart" class="nav-collapse cart-collapse">
 <ul class="nav pull-right">
  <li class="dropdown open">
    <a href="#" data-toggle="dropdown" class="dropdown-toggle">Totaal:
    &acirc;&sbquo;&not; 43,00</a>

    <ul class="dropdown-menu">
      <li class="nav-header">Pakketten</li>
        <li class="product">
            <span class="product-remove"><a class="removefromcart" packageid="2" href="#"><i class="icon-remove"></i></a></span>
            <span class="product-name">Test Product </span>
            <span class="quantity"><span class="badge badge-inverse">1</span></span>
        </li>
        <li class="product">
            <span class="product-remove"><a class="removefromcart" packageid="2" href="#"><i class="icon-remove"></i></a></span>
            <span class="product-name">Test Product </span>
            <span class="quantity"><span class="badge badge-inverse">10</span></span>
        </li>
        <li class="product">
            <span class="product-remove"><a class="removefromcart" packageid="2" href="#"><i class="icon-remove"></i></a></span>
            <span class="product-name">Test Product </span>
            <span class="quantity"><span class="badge badge-inverse">8</span></span>
        </li>
        <li class="product">
            <span class="product-remove"><a class="removefromcart" packageid="2" href="#"><i class="icon-remove"></i></a></span>
            <span class="product-name">Test Product </span>
            <span class="quantity"><span class="badge badge-inverse">3</span></span>
        </li>
        <li class="product">
            <span class="product-remove"><a class="removefromcart" packageid="2" href="#"><i class="icon-remove"></i></a></span>
            <span class="product-name">Test Product </span>
            <span class="quantity"><span class="badge badge-inverse">4</span></span>
        </li>
        <li class="divider"></li>
        <li><a href="#">Total: &euro; 43,00</a></li>
        <li><a href="http://stackoverflow.com/checkout">Checkout</a></li>
    </ul>
  </li>
</ul>