The project, from The Shield creator Shawn Ryan, follows the crew of a nuclear submarine who become fugitives after refusing to fire their missiles.
Taking refuge on a small island, the crew - including second-in-command Sam Kendal (Scott Speedman) - establish themselves as the world's smallest nuclear nation.
Ryan wrote on his Twitter account: "Scott Speedman greets the newest cast member of Last Resort..."
The writer then linked to a picture of Speedman with Terminator 2 star Patrick.
Patrick previously worked with Ryan on CBS drama The Unit from 2006 to 2009 and also starred on The X-Files between 2000 and 2002.
His film roles include 1998's The Faculty, 2001's Spy Kids and the forthcoming The Gangster Squad.
Other stars confirmed to appear in the Last Resort pilot include Dollhouse's Dichen Lachman, Men of a Certain Age star Andre Braugher and The O.C.'s Autumn Reeser.
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