Italian one criticised is not chagrined (9)
I believe the answer is:
unabashed
'italian one criticised' is the definition.
I can't judge whether this definition defines the answer.
'not chagrined' is the wordplay.
'not' becomes 'un' (prefix meaning 'not').
'chagrined' becomes 'abashed' (I've seen this in another clue).
'un'+'abashed'='UNABASHED'
'is' acts as a link.
Can you help me to learn more?
(Other definitions for unabashed that I've seen before include "Shameless" , "Thirteen [ILL AT EASE]? Just the opposite" , "lacking shame" , "Not at all ashamed or embarrassed" , "not put off" .)