Again, I think you need to do it quick and clean, if you're going to do it - if there's even a chance that you might end up having to recall the player to the starting XI (as we've had to do several times this season) then you keep any plans to move them on quiet.
Believe me, I get it - as fans, we desperately want to see some kind of sign that the club are on the same page as us, and are seeing what we're seeing. Ultimately though, it's counter-productive to play these things our in public - sounds good for 5 minutes, but then we're stuck with a miserable player, dragging down morale. Even if he doesn't have a single friend in the group, the other players will still look at him and think 'Will that be me if I hit a bad patch?'