What I have right now is an HTML5 version that is hosted on the internet and it works fine on mobiles.
It would be easier for users, however, if they had an app on the their phones. But I can't use actionscript to make the app because the .fla doesn't support right-to-left languages like Hebrew. So, is there a way to make an HTML5 app (not just an HTML5 web page) with Animate CC?
To convert a html5 application, Adobe PhoneGap, CocoonJS, or Apache Cordova can be used.
If you can't/won't rely on an external online service (like PhoneGap and Cocoon), then another option is to install Apache Cordova locally, and build apps for the various platforms yourself (which can also be done with PhoneGap, I believe).
Anyway, once you've set up the workflow, it's a pretty painless process. If you are planning to build apps on your local system, prepare to learn more about the CLI, though. Not difficult, just a bit different if you've never used it before.
Here's a step-by-step explanation for Cordova:
The Command-Line Interface - Apache Cordova
And here's PhoneGap's step-by-step:
Getting Started | PhoneGap Docs
Cocoon:
https://docs.cocoon.io/article/creating-a-project/