I have rotated the images in Memories and saved it. Then, when I go to the portrait next to the name and select the photo, it looks good, but when I save it, it turns counter-clockwise. I've tried this on Mac OS Safari and with FireFox. Nothing seems to work.
are you referring to a jpg image or a pdf ? not sure what you mean by "save it" (there is no save option in FamilySearch)
and what are you clicking on to "rotate it in the first place"
I almost get the impression you are rotating and saving (a copy of the image) on your local device and not within the FamilySeach application - which is why it doesnt "stick".
can you provide some link to the item? (or the link of the person it is hooked to - if they are deceased)
are you using a smart device(phone/ipad) or a computer - things can be slightly different for each.
Here are two Help Center articles to assist you:
How do I rotate a portrait in Family Tree?
How do I rotate a photo or document in Memories?