This afternoon (4/19/2017) I got a notification that I can now manage a group with my page.
Of note: I’ve only had this option enabled for one of multiple pages I am an admin for. I’ve not yet explored what this means for the page — I’m assuming a link will be added to the page for the group. I will explore this and update this article.
I was brought to this page where I was then able to select my group from a list of all group I’m an admin for.
Next, I went to the group and checked – indeed the page is not listed as a group admin.
By selecting the page from the drop-down menu, I’m now able to post as or comment as the page.
When we make a new post or comment on the post, we are given the choice of commenting / posting as the page or as ourselves.
We also have a note that is added to the banner that now shows a link to our page. 
