'internationally-inspired' is a compound formed from the adverb 'internationally' (from 'international' + '-ly') and the past-participle adjective 'inspired' (from the verb 'inspire').

'International' entered English via French 'international' (late 18th–19th c.) from Latin roots inter- 'between' + natio/ 'nation'; 'inspire' comes from Latin 'inspirare' 'to breathe into' (via Old French/Medieval Latin), and its past participle 'inspired' became an adjectival form meaning 'moved or stimulated (to do something)'. The modern compound 'internationally inspired' developed by combining these elements to describe something influenced by international sources.

Originally, 'inspire' meant 'to breathe into' (Latin), and over time it evolved to mean 'to stimulate or influence creatively or emotionally'; combined with 'internationally,' the phrase now means 'stimulated or shaped by international influences.'