Black rot is very aggressive fungal disease.
Cinnamon won't do a thing against it.
I personally do not believe in cinnamon anyways.
At best, they are useful for drying up the cut wounds.
While cinnamon bark does contain some anti-fungal agent, (hence it is so widely talked about and used as home remedy), pouring cinnamon powder just help drys up cut wound, rather than help plants fight disease.
You want to cut off any darkened portions as Tucker mentioned.
I would get a strong chemical if the plant is valuable. If not, watch for now, but if it keeps coming back, then it's best to discard rather than risking the spread of the disease.
Oh, last but not least, make sure you wash your hands good with soap after touching them bare hands.
Disposable gloves help.
Best!