The same will be applicable even with using API Management. You would have to
define (or
import OpenAPI Spec) to create your API and Operations in APIM. With this, APIM will simply forward requests on its endpoint to your web app's endpoint as is.
You clients would just have to access your API using the APIM gateway URL instead and everything else should be the same.
With APIM, you can use policies to add features like
caching,
request throttling, etc. based on your requirements.