If the earth never rotates, then there is no geostationer satellite. If geostationer satellite is a lie, how about gps satellite?
GPS are not geostationary satellites. As such, even with a magically stationary Earth, we can still have GPS satellites.
The jury is still out on geostationary ones, as a stationary Earth requires magic including a negation of gravity, so the same magic could hold the geostationary satellites up.
So if people doesn't have 100 percent faith in geostationary satellite, does it require to believe in existence of GPS satellite?
Nothing requires your belief in the "existence of GPS satellites" and the GPS was designed in such a way that it could function without satellites.
This was done so that ground based repeater stations could be used where satellite coverage is poor, predominantly close to the poles.
But it would seem very difficult to explain GPS coverage in remote regions and especially over wide expanses of oceans without satellite coverage.
In addition many GPS units, including the tablet I'm using now, show the locations of the satellites and their owners.
At present, indoors under a tile roof, this tablet is receiving up to 28 satellites, mainly GPS (US), GLONASS (Russian) with a few BDS (Chinese) and QZSS (Japanese).
The QZSS uses few geostationary satellites to enhance the accuracy in the Japanese and Oceania regions.
If the GNSS (the Global Navigation Satellite System, the generic name for SatNav) did not use satellites then every "GPS" unit manufacturer must be a part of the "conspiracy".
There's more, but I'll leave it there.