Part about the French choice (9)
I believe the answer is:
selection
'choice' is the definition.
(I know that choice can be written as selection)
'part about the french' is the wordplay.
'part' becomes 'section' (synonyms).
'about' means one lot of letters goes inside another.
'the french' becomes 'le' ('the' in French).
'section' enclosing 'le' is 'SELECTION'.
(Other definitions for selection that I've seen before include "Choice, pick" , "Horse tipped for betting" , "Act of choosing" .)