Try this, its not tested in this way, but in a simmilar way in my Project.

// Route

Route::any('/ajax/user/upload-pic/', array('as' => 'uploadImage', 'uses' => 'Controller@ajaxUploadImage'));

// Controller Function

public function ajaxUploadImage()
{
	$file = Input::file('image');
	$input = array('image' => $file);
	
	$destinationPath = 'uploads/';
	$filename = md5(microtime() . $file->getClientOriginalName()) . "." . $file->getClientOriginalExtension();
	Input::file('image')->move($destinationPath, $filename);
	return Response::json(['success' => true, 'file' => asset($destinationPath . $filename)]);
	
}

// Blade Template

<div class="form-group">
	{!! Form::label('pictureupload',"User Picture",['class'=>'col-sm-3']) !!}
	<div class="col-sm-5">
		<figure id="picture-preview">
			<img src="source-to-dummy-image-or-current-image" alt=""/>
		</figure>
		<input name="pictureupload" type="file" id="pictureupload" data-url="{{route("uploadImage")}}"
			   data-target="#picture-preview">
		{!!
		Form::hidden('picture',$currentImagePath,['class'=>'form-control','id'=>'picture'])
		!!}
	</div>
	<div class="col-sm-3">
		<!--
		<button type="button" id="ajaxUpload" data-loading-text="uploading..." class="btn btn-primary" data-url="{{route("uploadImage")}}" autocomplete="off">
			Loading state
		</button>
		!-->
	</div>
</div>

// JQuery Ajax request

$(function(){
    $('#pictureupload').change(setLogoRegistration);

    function setLogoRegistration(){

        $dst = $('#picture-preview').html("<img />");
        $dst.children('img').attr('src',$('#picture').val());
    };
    setLogoRegistration();

    $('body').delegate('#pictureupload','change', function(){
        var data = new FormData();
        data.append("image",$(this).prop('files')[0]);
        var options = {
            url: $(this).data('url'),
            method: "post",
            processData: false, // important
            contentType: false, // important
            data: data,
            dataType: "json",
            success:function(response, statusText, xhr, $form)
            {
                $('#picture').val(response.file).change();
                console.log('Upload Complete');
            },
            beforeSend: function(){
                $('body').addClass('ajaxActive');
                console.log('Uploading Image...');
            },
            complete: function(){
                $('body').removeClass('ajaxActive');
            }
        };
        $.ajax(options);
    });
});