I\'m having a weird issue that is causing a conflict. I had to switch to native Fragments to fix it, but there are bugs with that.
My original problem:
I faced the same situation recently, when I needed to check for a permission inside the support fragment and get a callback there.
I was able to use ContextCompat to checkSelfPermission and then as @NasaGeek said called android.support.v4.app.Fragment's requestPermissions to request the permission and then got a call back to onRequestPermissionsResult in v4 Fragment.
Hope this helps.
Thanks.