Do the Italian words rhyme in an an Italian poem Or French words or any language a poem is written in Do they follow the same rules as English poetry?

Yes, it can be said that the Words in French- or Italian-language poems follow the same rules as English poetry.

Specifically, English language and literature are interactive with linguistic and literary influences coming from across the English Channel and from the Mediterranean through maritime and overland routes originating in Italy. Much of the interaction with France dates to the establishment of the Norman (1066-1154) and Plantagenet (1126-1485) royal dynasties with William the B-----d's (1028-1087) becoming the Conqueror over Harold the Fair (1022-1066) at The Battle of Hastings of October 14th and replacing Anglo-Saxon rule over England with French-speaking control. Much of the interaction with Italy traces back to the educational commitments of Ireland's traveling White Martyrs -- from Saint Columba (521-597) onward -- who are responsible for Europe surviving Dark Ages of anti- and non-learning and illiteracy.