'appriser' ultimately comes from Late Latin *appretiare/*appretiare, built from Latin elements meaning 'to' (ad-) and 'price' (pretium); via Anglo-French/Old French forms related to 'apreiser'/'apreceier', it entered English with the sense 'to set a price' or 'to value'.

The idea moved from Late Latin 'appretiare' into Old/Anglo-French (e.g. apreisier/aprecier), then into Middle English in forms such as 'apprisen'/'apprisen' and later into modern English as 'appraise' and the agent noun 'appriser' (also spelled 'appraiser').

Originally it meant 'to set a price' or 'to value'; over time the core meaning broadened to 'assess value' (modern sense) and occasionally to the rarer sense 'to inform' (from a different but related verb form).