The muscle-up is a pull movement ( a high pull-up) combined with a transition and a push movement (a dip).
Whether it be the Push-pull-leg split or the tradition Bro-split, if you're like me and many others, you probably like to split up your pull and push movements on separate days.
So the question is should you train it on a push day with your Pushups, Shoulder press and bench press, or should you train it on your pull day with your pull-ups and rows.
Performing it on a push day could lead to impeding your back recovery (if you just had back day the day before) or fatiguing your lats for the upcoming back day.
And Performing it on a pull day could lead to impeding your chest/shoulder recovery (if you just had push day the day before) or fatiguing your chest/shoulder for the upcoming back day.