Hello Gardine! Germany is really supporting Mage Wars - the recent support and enthusiasm has been wonderful! :-)
The quickcast marker lets you cast one quick spell. SO, yes, you could cast a quick attack spell with it, including one bound to a wand.
The Wizard's built-in Zap attack counts as a quick attack spell, so you absolutely can cast it with the quickcast marker.
Here is an excerpt from our online explanation of the Mage's abilities (see "All about Mage Wars - Mages"):
The Wizard is the only Mage with his own built-in magical attack spell, Arcane Zap. This is a very simple and useful attack spell, producing a small bolt of eldritch power. The Wizard uses it just as if he had chosen an attack spell card for his hand during the planning phase called “Arcane Zap.”
Arcane Zap can be cast just once each game round. Unlike a card spell, it is not discarded after it is cast. He can use it again every round! Arcane Zap costs 1 mana each time it is cast. The Wizard subtracts this from his mana supply just like casting any spell.
It is a ranged attack, with a range of 0-1 zones. So, the Wizard can target any creature or
conjuration in his zone, or one zone away.
The attack deals 3 dice of damage. It also has the Ethereal trait, which makes it effective against
Incorporeal objects like the Whirling Spirit or a Fog Bank.
Because it is a quick spell, the Wizard uses a quick action to cast it, which means it can be used
with his normal action or with his Quickcast action. Of course, the fact that Arcane Zap is a spell
also means that it can be countered or affected by spells like Jinx.