No.
Incandescent lights flicker at twice your AC power frequency -- to a decent approximation, their power is proportional to V^2. But this is input power -- the cooling of the filament is slowish and the modulation depth is low. Most people aren't bothered by this.
Fluorescent lights with old or very crappy "magnetic" ballasts flicker at twice the mains frequency, with deep modulation. The effect on people varies from moderate to extremely unpleasant, and it's extra bad if anything is moving quickly (gyms, etc). There are even studies showing that office workers perform worse under such lighting even if they don't experience personally perceptible symptoms. The effect is so severe that people invented the "electronic ballast", which flickers at much, much higher frequency and avoids low-frequency components. Phew. (The light might still be a nasty color, but the temporal output is okay.)
"Driverless LEDs" are deeply modulated at twice the mains frequency. These are very nasty.
If you actually have a light that flickers at the AC power frequency (certain LED sources in a two-brightness diode-dimmed kitchen appliance fixture will do this, as will driverless LEDs with certain types of failures), then it's extra nasty.
There are plenty of people around who find (depending on the actual waveform) 60Hz flicker intolerable and 120Hz flicker extremely unpleasant. And there are plenty of people who can often perceive flicker under appropriate circumstances up to at least several hundred Hz and even into the low kHz with certain shapes of light sources. You can read up on IEEE 1789 to find a standard based on actual research on what lighting waveforms should look like.
The effect of 120 Hz flicker is bad enough that energy codes in some places (e.g. California) have started to require that LED sources minimize this flicker, but, sadly, it's poorly enforced.
The fluorescent light strobing is why you often see fluorescent tubes in pairs. They will be wired in opposite phase to cancel the strobing.
Also, the human eye sees flicker much better at the periphery than in the central area. The Rod receptor cells respond more rapidly than the Cone color-sensitive cells, and the peripheral vision is also more tuned to quick motions (much advantage in having faster detection of peripheral motion, so positive selection evolutionary pressure).
Hey thanks for clearing this up. I had no idea that CFLs and fluorescent lights with electronic ballasts now flicker at ~ 20kHz.