At present, there doesn't seem the full suite of capability in ArcGIS Pro to edit annotation feature classes.
I do a lot of work (and mean A LOT) editing annotation for roads and watercourses. A great feature of ArcMap is being able to straighten one part of a multipart annotation feature.
Here's how it looks in ArcMap 10.4.1:
In ArcGIS Pro 2.3.3 it looks as though a lot of the menu has been brought across from ArcMap, but the functionality is not enabled.
This may actually be a bug more than anything else.
This idea could be considered as a addendum to this idea already raised: Bring back ArcMap style Move and Rotate tools for annotation in Pro.
I know not everyone uses annotation feature classes, but for those cartographers amongst us are probably heavier users.