'appetently' originates from Latin, specifically the present-participial stem 'appetent-' from the verb 'appetere', where 'ad-' meant 'to' and 'petere' meant 'to seek'.

'appetent' was borrowed into English from Latin 'appetent-' (via scholarly/learned borrowing in early modern English), and the adverb 'appetently' was formed by adding the adverbial suffix '-ly' to the adjective 'appetent'.

Initially it meant 'having a desire or craving', and over time it has come to mean 'in a desirous or eager manner' (used chiefly in literary or archaic contexts).