The Canes were visitors on the scoreboard, and jumped on the Panthers in the first inning.
Noah McMinn's RBI single drove home Demond Parker to give Fitzgerald a 1-0 lead.
Union County responded in their half of the inning with an RBI sac fly by Joseph Mancuso.
Fitzgerald added three more in the second to take a 4-1 lead, and held on to advance.
The Canes will travel to Heard County for the state quarterfinals. That series begins next Tuesday.
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