Fanning outside air into basement apartment
I think it's a bad idea. I understand the intent &amp; initially it sounds good, but it's a basement. If anything you really would only want it to exhaust air &amp; you absolutely wouldn't want to introduce humid outdoor air into the basement. You might even have a Radon problem that this would be better used for.

If you can't use it for Radon, Bath or Kitchen exhaust venting, then plug it up with foam or fiber insulation until a future use can be determined. You could also use the hole as natural light by making your own Sola-tube type of setup.