Google has nothing on Apple's "unlisted apps" feature. You would have to make your Android app fully public.
All the other answers here talking about internal/closed/open testing are not getting it. "Unlisted app" is not an app under testing. It is a production-ready app that is "hidden" from general public - accessible only via a direct link. AND YOU DON'T HAVE TO INVITE ANYBODY BY PESKY EMAILS FOR IT TO WORK! There are no other distinctions from a normal public iOS app, as far as I know.
With Google, there is another story. The feature simply does not exist.
Internal testing from Google Console is not it. It has a limit of 100 testers.
Closed testing is not it either. A developer has to know all the users in advance and invite them by email.
Open testing is not it as well. Although there are no problems with it mentioned above, users will see "Join beta" dialog when downloading the app from Play Store. Plus, the app would be fully public - discoverable on the Play Store. With Apple's "unlisted distribution" this is not the case.
Private apps from Google Console are also not that. A developer would need to know all the users in advance - actually, users' Google Workspace ORGANIZATION ID. So, again, it is not a counterpart to "unlisted distribution" from Apple.
So, here you have it. Which is NOTHING.
I recommend going fully public with your Android app. Because, if you think about it, Apple's "unlisted distribution" is a public distribution as well, cause we all know that once something is shared on the Internet, it is public (I am talking about a direct link to the App Store listing of your unlisted app that you share with a not-really-tech-savvy colleague who is going to post it on his LinkedIn).
Apple's "unlisted distribution" means the app simply not appears in any App Store listing, charts, search results, etc. You really have to know that it exists to find it, i.e. have a direct link to it.
Just make sure that your Android app handles nicely the situation when some rando downloads the app when he is not really "invited" to do so.