The Parrot Staff is a craftable summon weapon. It summons an parrot junior that attacks enemies by chasing toward them similar to Spazmatism summoned by Optic Staff. However, it can pass through blocks and can't be summoned to replace others minions while players have already maximized number of minions.
Its best Modifier is Ruthless. The Mythical modifier provides the widest array of stats bonuses, but these primarily affect the initial summon rather than the resulting minion. Additionally, minions cannot deal critical hits. The only significant advantage a Mythical Parrot Staff has over a Ruthless one is knockback.