The French veto against Asian country (7)
I believe the answer is:
lebanon
'asian country' is the definition.
(country in Asia)
'the french veto against' is the wordplay.
'the french' becomes 'le' ('the' in French).
'veto' becomes 'ban' (banning is a kind of vetoing).
'against' becomes 'on' (I've seen this in other clues).
'le'+'ban'+'on'='LEBANON'
(Other definitions for lebanon that I've seen before include "Country associated with cedar trees" , "E. Mediterranean nation" , "Country with cedars" , "Republic on Mediterranean" , "Middle Eastern region" .)