Let me know if any of those [work / works] for you.

An interesting question came up in yesterday's class about the final sentence of this email.

I wasn't able to give a very convincing answer in class, so I've done a bit of research to dig deeper.

To make sure we're on the same page, the question was:

Which is correct?

• Please let me know if any of those work for you?
• Please let me know if any of those works for you?
  

Experimental results:

As an experiment, I asked a few different native speakers to fill in the missing space. All of them chose "work" and reported option two feels awkward.

What the literature says:

Here's the relevant reference from an English usage book (these kinds of books try to describe the language based on how people really speak or write it):

So, in short, the consensus seems to be:

• Please let me know if any of those work for you? (Most common usage in both British and American English)
• Please let me know if any of those works for you? (May be used in formal British English)
  

Hope that helps!