Yes, Karmic Justice triggers if it is itself destroyed. From Gatherer :
10/4/2004 If an opponent destroys Karmic Justice, it will trigger on its own destruction.
Private Mod Note
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I'm a former judge (lapsed), who keeps up to date on rules and policy. Keep in mind that judges' answers aren't necessarily more valid than those of people who aren't judges; what matters is we can quote the rules to back up our answers. When in doubt, ask for such quotes.
I lay Angel of Despair targeting Karmic Justice
is my opponent able to destroy one of my permanents if Karmic Justice is no longer on the table?
Commander/EDH Decks:
BRG The Blood of Jund - Kresh the Bloodbraided BRG
WR The Blades of Goldnight - Gisela, Blade of Goldnight WR