Hey there @Ciemny_Wilk! Welcome to the community! Since Gerstner waves are deterministic, the idea should work if you sync the time the waves are using. The trick involves overriding the waves time with the server time. This however doesn’t account for other physics changes going on obviously. A decent breakdown in this thread below:
This concept works but you may need to modify it a bit to smooth it out and compensate for stutter.