Just to add my 2 pennorth, I'm going to go against the grain somewhat and say that you can do a french seam on an armhole, but it has to be teeny tiny and I am talking about half the standard seam, which if you have not done one before will be an impossibility! TBH, unless the fabric is very fray-y, I would consider using another type of seam finish, as I like finishing to be consistent, especially where it is possible that the insides will be seen. I would consider using a Hong Kong/bound seam finish.
But good luck and do let us know what you choose to do.