Finch missed the Renegades last match after he was given a period of leave following an extended time in hubs this year.
Pakistan all-rounder Imad Wasim has also been included in the squad and is in contention to play his first game for the club.
Imad represented Pakistan against New Zealand in the T20I series earlier this month. His inclusion means Noor Ahmad, who made his debut for the Renegades last week, is unavailable for selection.
The match against the Thunder will be broadcast on Channel 7 and Fox Cricket from 6pm.
Sydney Thunder v Melbourne Renegades
Saturday December 26
Melbourne Renegades Squad
Aaron Finch (Captain)
Brody Couch (Local Replacement Player for Marcus Harris)
Peter Hatzoglou (Local Replacement Player for James Pattinson)
Mohammad Nabi (AFG)
Rilee Rossouw (RSA)
Imad Wasim (PAK)
Melbourne Renegades MenKFC BBL|10