No. You do not need to be a U.S. citizen to trade FX Options. As long as your broker has access to U.S. listed products you can trade these products almost anywhere.
You can open up a trading account with OptionsXpress or Interactive Brokers (to name just a few), who have access to U.S. listed products, such as ISE FX Options (Symbols: AUX, AUM, BRB, BPX, CDD, EUI, EUU, GBP, NZD, NDO, PZO, SFC, SKA, YUK).
OptionsXpress: http://www.optionsxpress.com/new_account.asp
Interactive Brokers: https://www.interactivebrokers.com/Universal/servlet/formWelcome;jsessionid=36C2790E9F69027E6BDC05F18EE49374.www1?p=100&atype=IT&b=T
For a partial list of brokers who trade FX Options, visit www.fxoptions.com/brokers