I say it's all in your tone, attitude and intentions. Some people just don't like being corrected at all, by anyone, no matter what, so it doesn't matter whether there's an audience; some just don't like authority.
But, if you are dealing with mature professionals, and you correct them with the right tone, the right attitude and the right intentions, I'm sure everything will go fine.
Remember that the Bible says "harsh words stir up anger," so be sure to check yourself.