'inspectability' originates from English composition of 'inspect' + the suffix '-ability'; 'inspect' ultimately comes from Latin 'inspicere' (in- 'into' + specere 'to look'), and the suffix '-ability' derives from Latin '-abilitas' (forming nouns of ability).

'inspect' entered English via Latin 'inspectare/inspectus' (frequentative/perfect forms of 'inspicere') and Old French influences, becoming Middle English 'inspecten'/'inspect' and later modern English 'inspect'; the modern noun-forming '-ability' developed from Old French/Latin patterns (e.g. Old French 'habilité', Latin 'habilitas'), producing the compound 'inspectability' in modern English.

Initially the Latin root 'inspicere' meant 'to look into' or 'to observe closely'; over time the compound formed with '-ability' evolved into the abstract noun meaning 'the quality of being able to be inspected'.