'antihierarchically' is formed from the prefix 'anti-' (from Greek 'anti' meaning 'against') + 'hierarchical' (from 'hierarchy' + adjectival suffix '-al') + adverbial suffix '-ly'.

'hierarchy' originates from Greek 'hierarkhia' (via Latin and French), where 'hier-' related to 'holy' and 'arkhos' meant 'ruler'; 'hierarchical' developed as an adjective in modern English and was later combined with the prefix 'anti-' to make 'antihierarchical', to which '-ly' was added to form the adverb 'antihierarchically'.

Initially the Greek root referred to the rule or order of sacred officials; over time the sense generalized to any system of ranked levels, and 'antihierarchically' now means 'in opposition to or not employing such ranked systems'.