Do pets count towards "per attack" and "on hit"?

I'm playing a witch doctor with a spec that does very few actual direct attacks (i.e, me running in and hitting or casting a spell.) However, I've got pets that are always attacking or the Pirahna pool that are attacking as well.

If I have a weapon that says 10% chance on hit to apply something, do my pet hits and the Pirahna "tick" count towards that 10% chance on hit? What about something that says x% of thorns applied on every attack?

Thanks for the tips!

Pets have a proc coefficient of 0, meaning they can not trigger "on hit" effects.

In general, no.

However, pets can sometimes proc related legendary abilities. In patch 2.5, Blizzard added the ability for Wizard pets to proc the Manald Heal ability. This is the only exception I'm aware of.