I don't know whether you're able to play offline against the computer on your PC, but for alternatives you can always use a Google search: please be careful asking for recommendations, as Chess.com's policy is to not discuss our competitors, which some recommendations might be.
Playing offline on PC?

@david: How on earth did you manage to classify a stand-alone PC program for playing offline as a competitor to a social chess website? It's like saying Microsoft Word is a competitor to Facebook. Seriously...

I don't know whether you're able to play offline against the computer on your PC, but
If you represent this site, how do you not know? Maybe you should find this out before you respond to, and delete part of, a post. Based on the deleted answer from bufferunderrn (thank you, btw), it looks like the answer is no.
I am a premium member of this site and I chose to pay because I believe it is great and better than competitors. Just looking for a way to play offline on my PC, which you do not offer. If you guys are looking for feedback, seeing as though it exists on the phone app, I would love to see that transferred over to something that could be downloaded on a PC for offline play.
That being said, I understand why the site's policies may exist and will be more careful about adhering to them in the future.
If you using win 7,you already have chess on pc,called chess titans.
Also you can install chess.com app on pc if you using win 8.1 or win 10,at least I think.They should support android apps.
And yes,there are bunch of software you can buy or download free,seems they don't approve writting about them.

Thanks Samir! I would preper to keep my play with chess.com so I will see about trying to get the app on my laptop.

You will be unable to access any part of Chess.com without internet. Of course, that's why the apps are so great!

Well, I for one would appreciate a ruling from staff on whether we can recommend offline chess programs for the PC. Up till now, many people made these recommendations on a frequent basis. If we're no longer able to do this, that would constitute a major change in the site philosophy.

Here are some free offline PC chess programs that are popular and often recommended:
Lucas Chess (Lots of preinstalled personalities): http://www-lucaschess.rhcloud.com/index.html
Arena (more for engine-engine tournaments, but also very good for playing against engines if you know which engines to download, install, and configure): http://www.playwitharena.com/
Scid vs. PC (more of a chess database program, but you can also play against engines): http://scidvspc.sourceforge.net/index.html
Winboard (It doesn't come with hardly any engines, so you'd have to find and install some): http://www.open-aurec.com/wbforum/viewtopic.php?f=19&t=51528

I don't know whether you're able to play offline against the computer on your PC, but
If you represent this site, how do you not know? Maybe you should find this out before you respond to, and delete part of, a post. Based on the deleted answer from bufferunderrn (thank you, btw), it looks like the answer is no.
I am a premium member of this site and I chose to pay because I believe it is great and better than competitors. Just looking for a way to play offline on my PC, which you do not offer. If you guys are looking for feedback, seeing as though it exists on the phone app, I would love to see that transferred over to something that could be downloaded on a PC for offline play.
That being said, I understand why the site's policies may exist and will be more careful about adhering to them in the future.
Hello again,
My chief role here is as a moderator in the forums and spam detection & cleanup, so I'm not familiar with the full range of chess.com's functionality and wasn't able to answer that part of your question.
Off line chess programs in themselves are fine, but I am conscious of the way that the distinction is becoming increasingly blurred with today's technology, which is why I advised caution. If Lucas Chess doesn't have any online component, then I apologise for deleting the first post that recommended it.
Here is a dumb question: Say I am on an airplane or in any other situation where internet is not available. I can obviously play against the computer on the Chess.com app on my phone. Is there a way to play against the computer on my PC?