The US version of the FZ6 eliminated 1 wire from connector B on the schematic that went from the headlight switch to the un-used spot on the H4 headlight connector. Adding that wire will allow the handlebar light switch to toggle between high and low beam. The connector slot is vacant and I believe that it is an 'MT090' (see post #18 in this thread
https://www.600riders.com/threads/st2-self-cancelling-indicators.59522/ ). All you need is a male pin for the connector, a flag connector to insert into the unused spot on the H4 connector and enough wire to go between the 2. This is the factory solution so no problems down the line with a hacked-up wiring harness.
This is a simple mod. I did this on my FZ6 years ago, so I could have dual low-beams.
There are lots of good sources for connectors on line. I use
http://cycleterminal.com . Joe has been pretty helpful in identifying connectors and sourcing replacement pins etc.