Wikipedia gives you a list of German climbing terms. As you thought there is the word Zug in it
Zug: Bewegungssequenz, die notwendig ist, um beim Klettern den nächsten Griff zu erreichen.
English wikipedia has its own page for climbing terms, which says
Move: Application of a specific climbing technique to progress on a climb.
I think they are similar enough to translate move as Zug.
So you can say
But, to be honest, that sounds awkward for me. I would use some Denglish (German/English combination) and say
Please note: Denglish is often used in "Fun-Sports", when you want to sound hip & young, when there are no German terms at all or the English terms are the dominant ones.