Replace it if necessary.

Inner Tube Inspection
Spring Tension InspectionTechnical Information - Electronic Steering Damper (ESD/ZX1000JD/KD models)
1) Overview
This model has an Electronic Steering Damper (ESD)
[A]. Unlike conventional manual adjustment method of
Kawasaki, damping characteristics are adjusted by the
electronic control unit.
2) Purpose
Designed to offer increased stability at high speed without interfering with
light ...
Gear Position Switch Removal
Remove:
Oil Pump (see Oil pump Removal in the Engine Lubrication
System chapter)
Engine Sprocket (see Engine Sprocket Removal in the
Final Drive chapter)
Fuel Tank (see Fuel Tank Removal in the Fuel System
(DFI) chapter)
Disconnect the connector [A].
Remove:
Screws [A]
...
Steering Damper Removal
ZX1000JC/KC
Remove:
Steering Damper Mounting Bolts (TORX Bolts) [A]
Washer [B]
Washer and Collar [C]
Steering Damper [D]
ZX1000JD/KD
Remove:
Clamp [A]
Connector [B] (Disconnect)
Steering Damper Mounting Bolts (TORX Bolts) [C]
Washer [D]
Washer and Collar [E]
Elect ...