It's not that simple. I'm not quitting my job over their choice of a teleconferencing website.
If all you need is IE then yeah, Parallels.
But I recommend you quit any company or service that only supports IE in 2013. Seriously, if they don't give a shit about their product why should you?
My friend is an independent consultant who must use a variety of outside B2B services dictated by his clients. He's not going to refuse their business over a browser issue, he's going to buy a PC with IE.
I can't recommend Parallels merely to run IE. it's too much technical trouble, cost, battery life killer. I have no idea if chrome or Firefox work with his sites. My experiences suggest that won't fix it.