Interesting question. Air is wntrained in microscopic (or larger) cavities. I would think the answer, as with anything, is "it depends". It depends on the permeability of the particular concrete recipe and on a related note - the thickness of the sample, how much air was entrained during production, as well as the environmental conditions it's been exposed to (e.g. submerged underground, underwater, or subjected to temperature fluctuations). For the latter, I know that air voids can fill with water as entrained water expands, which actually aids the self-healing properties of concrete, but I have no idea if the air is compressed or dissolved (in the waster) or displaced out of the concrete.
You may want to reach out to Dr. Tyler Let - a prof. with an surprisingly addictive youtube channel [1] about concrete (yes, I know, but I feel I'm in good company on HN).
Also, your question reminded me of an old article I read about researchers analysing air from exumed lead coffins which were air tight. This isn't that story [2], but it's similar.
1. https://en.m.wikipedia.org/wiki/Mudskipper
2. (PDF) https://www.google.com/url?sa=t&source=web&rct=j&url=https:/...