Odd parts of global state (3)
I believe the answer is:
goa
'state' is the definition.
(Indian state)
'odd parts of global' is the wordplay.
'odd parts of' means one should take alternating letters.
The alternating letters of 'global' are 'GOA'.
(Other definitions for goa that I've seen before include "Indian state, former Portuguese colony" , "West coast Indian state" , "Former Portuguese territory in India" , "Indian region" , "holiday destination in Asia" .)