Country welcoming that man's right to vote (9)
I believe the answer is:
franchise
'right to vote' is the definition.
('franchise' can be a synonym of 'right to vote')
'country welcoming that man's' is the wordplay.
'country' becomes 'france' (France is an example**).
'welcoming' means one lot of letters goes inside another (in sense of 'inviting in').
'that man's' becomes 'his' (I've seen this before).
'france' going around 'his' is 'FRANCHISE'.
(Other definitions for franchise that I've seen before include "The right to vote in elections" , "permit being provided" , "rights of citizenship" , "commercial concession" , "Authorisation to engage in specific commercial activity" .)