This is not a "General Discussion", it's a support request. I will move it to the Support Board.
You seek a browser add-on that will allow click-to-dial on a web page. Completely unrelated to any "dialer" functions. Vicidial is for Autodialing, that's where its power lies. If all you need is a phone call to be generated based on a click on a screen, any PBX will do (have a look at FreePBX, there are many releases based on FreePBX). There are also many click-to-dial browser add-ons, many of which are specific to certain flavors of FreePBX specifically, but mostly they just generate a command that can be caught by an installed soft-phone on the user's workstation. EG: The browser add-on alters the web page to request SIP:XXXXXXXXX and the installed soft phone catches that request and dials the number. Then it's just matter of that soft phone succeeding in making the call. Technically, you can connect the soft phone directly to a VOIP provider and not even HAVE a PBX at all. But certainly that would work as a manual dial in Vicidial just like any other PBX, too.
Happy Hunting.