It's not that specific speed sensor (the one you linked does not appear to be compatible with 370Z), but yes all 6MTs have an input speed sensor. They should have a gear lever position sensor, an input speed sensor, and a park/neutral position switch. See attached diagram from the FSM.
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2011 370Z 6MT Sport Gun Metallic | ARC | CJM | Ecutek | FI | Fujimura | R2C | SPL | Stillen | TWM | Z1 | ZSpeed | |