I managed to name a Persian (7)
I believe the answer is:
iranian
'a persian' is the definition.
(I know that persian can be written as Iranian)
'i managed to name' is the wordplay.
'managed' becomes 'ran' (both can mean organised or was in charge of).
'to name' becomes 'ian' ().
'i'+'ran'+'ian'='IRANIAN'
(Other definitions for iranian that I've seen before include "Modern Persian language" , "Khamenei or Rouhani, say" , "One from Isfahan" , "of Asian origin" , "One from Tehran, say" .)