Fluorescent lighting is green and that green shifts in pulses in sync with the A/C power cycle.
A shutter speed of 1/30 or slower eliminates the pulse issue by assuring that the shutter is open long enough to capture a complete cycle.
Your examples also show mixed lighting.
You can overcome that by manually setting white balance.
There are two ways to do that that I'm aware of;
One is to shoot a reference photo of a white or 18% grey object under the mixed lighting at 1/30 or less using the Custom WB setting.
The other is to manually set WB Kelvin temperature to taste using live view.
If you've an area available for testing that is lit with a single fluorescent tube, experiment with different shutter speeds, auto, manual and custom WB settings.
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