Hi, I'm having a problem to share my annotation layer as feature layer. On the content pane it only appers to be adding the annotation layer to Map Image and not to feature layer.
According to this documentation - 24035: Layer type is not supported for web feature layer—ArcGIS Pro | Documentation - annotation is not supported for a web feature layer but if you're using ArcGIS Enterprise 10.6 and higher that uses the references registered data option, it appears you can...
Try turning your annotations into Layer Tile (tpkx) and then adding that to your Web Map.
The annotations will act as a raster tile image, which means you wont be able to edit or delete them without referencing back to your original feature class- making the edits- and republishing the tpkx.
Unless you have an Enterprise License- this tpkx will cost credits to store in AGO. I have almost 500,000 annotations being stored as credits and it cost me ~$100 per month. It isn't a lot, but worth mentioning.
I've previously logged an enhancement for the Ability to Publish Feature Class Annotations as Hosted Feature Layers, which may be beneficial to your workflow as well.