I found a tutorial for adding Google Conversion code to WordPress Contact Form 7 plugin which can be found here.
Currently I've added
<script type="text/javascript">
$(".wpcf7-form").submit(function(){
var google_conversion_id = "12345678910";
var google_conversion_label = "xxxxxxxxxxx";
var image = new Image(1,1);
image.src = "http://www.googleadservices.com/pagead/conversion/"+google_conversion_id+"/?label="+google_conversion_label+"&script=0";
});
</script>
to my footer, but it doesn't send correct results. Could someone help me out with what I should add to my Contact Form Plugin, through the control panel of WordPress, to make my Analytics show correct results. I would not prefer redirecting to another page.
You are on right track. As this script runs you get your results recorded at server.
If you want to set it without any redirection you may find this helpful.