Afghanistan are preparing for a series against Ireland featuring three Twenty20 matches, five one day games and a Test match.
The series opening T20I will be held in India on February 21.
It was expected Nabi would be available for the BBL finals campaign before the request from the Afghanistan Cricket Board came through late this week.
Under International Cricket rules, national teams can require players to join their squad at any time.
Nabi is set to arrive in India tomorrow.
“We’re disappointed to lose a player on the eve of the finals series but we understand the rules around international call ups and know there can be some unpredictability around when players are called into camp,” Melbourne Renegades Coach Andrew McDonald said.
“Nabi has been a valuable contributor throughout the season and his skills with bat and ball as well as leadership abilities will be missed.
“We are proud of the way we have been able to cover the absence of key players throughout the season and we’re confident in the depth of our squad.
“There is now an exciting opportunity for someone to come into the team and play an important role for us.”
Nabi scored 228 runs this season and took eight wickets.