Hi Steelhorns,
I am not sure precisely what your question is, so forgive me if I missed the mark here. Let me know if this helps:
A quick spell is any spell that can be cast with a quick action (it will have the lightning bolt symbol printed on the spell in the top left corner, OR it will say "this counts as a quick spell"). Examples of quick spells include:
[ol]
[li]A quick spell you pulled out of your spellbook and planned for during the planning phase.[/li]
[li]A quick spell bound to a wand. Spells bound to a wand count as a spell planned during the planning phase.[/li]
[li]Special abilities which say "this counts as a quick spell". The Wizard's Arcane Zap is a built-in quick spell ability. The Staff of Beasts can be used as a quick spell. Changing out spells on a wand counts as a quick spell.[/li]
[/ol]
A quick spell can be cast using the normal action marker and taking a quick action. For example, a Mage or Familiar could use their action marker to move, and then take a quick action and cast a quick spell.
A Mage also gets a special action, the Quickcast, which allows him to cast one quick spell per round. So any of the above actions which count as quick spells, could be performed using the Quickcast action, including Arcane Zap.
An attack is basically any attempt to deal damage to an object. It includes built-in attacks printed on creature cards, attack spells, some spells which make an attack as a side effect (such as Explode), bashing into a wall which blocks passage, attacks granted by equipment (weapon) or enchantments (Circle of Lightning), etc.
BTW, Direct Damage is not an attack, and is the only way to deal damage without making an attack. Examples include Ghoul Rot and Idol of Pestilence.
So Arcane Zap counts as an attack, and as a quick spell, and can be cast using the Quickcast action.
Let me know if any of the above helped or I missed the mark. If I missed, please clarify how I can help.
Thanks, and Happy Thanksgiving!