That includes the tiny, nearly involuntary eye twitches called "saccades" (as I know now from the article!)...if your eyes move even a fraction, the colors won't disappear.
If you're in any way stressed or having issues at all with your eyes, it might be hard to do that. It reminds me of when I used to spin in an office chair for fun as a kid, or when you look out the side window of a moving car at close trees or scenery: if your eyes try to focus on everything that passes sideways, you will become dizzy and disoriented and possibly ill; if you can relax your eyes and let everything whoosh past in a blur without them trying to focus and pick anything out, you won't get as disoriented or ill.
I found it was a little easier with one eye closed; at monitor distance, my eyes felt like they were crossing and wanted to each take turns focusing singly on the dot, which causes eye movement. If that doesn't work, perhaps try moving a little farther away so your eyes can both focus on the dot without difficulty. Be patient, relax and breathe, and let all the muscles in your eyelids relax also. It might be more comfortable to let them naturally close a little more than normal like you are sleepy which removes any extra pull that will stimulate and move your eyeball muscles.
It's very subtle, but quite startling when it happens. The first time it does, your eyes will probably reflexively move and the color will return.
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