If the display function does not work, replace the meter unit.

Check 3-6: Neutral Indicator Light (LED) Inspection
Meter Unit Circuit (ZX1000J Model)Bolt and Nut Tightening
In accordance with the Periodic Maintenance Chart, it is very important to
check
the tightness of the bolts and nuts listed here. Also, check to see that each
cotter
pin is in place and in good condition. Please ask your authorized Kawasaki
dealer
for torque values.
1. Clutch Lever Hol ...
Wiring Diagram (US, CA and CAL without KIBS Models)
ZX1000JC
ZX1000JD
...
Clutch Cover Removal
Remove:
Right Lower Fairing (see Lower Fairing Removal in the
Frame chapter)
Clutch Cable Lower End (see Cable Removal)
Clutch Cover Bolts [A]
Turn the release lever [A] counterclockwise as shown,
and remove the clutch cover.
About 90° [B]
...