I've been trying to break myself of the habit of writing on my gloves, for several reasons. Although initially it seems easier to just pull out your pen and jot down on your hand, (which is the same reason I got into that habit as a rookie), I've since found a simple pocket notebook is vastly superior.
Firstly although Large gloves fit me best, they aren't a quite perfect fit, there's just enough extra slack in the material that the tip of the pen catches on and pulls at the glove itself often enough to demand I have to take extra care to produce a legible letter (notice that's each individual letter) vs a piece of paper I can just write on like normal. If larges aren't available for whichever reason, I find XL's the next most useful size for me to actually work and perform patient care tasks in, but those produce enough extra material that catches the pen that writing on them is virtually impossible. I can squeeze into a pair of mediums of no L/XL's are available, and while those are easiest to write on, they're so tight on my hands that I feel constrained and break them far more easy. So it's easier just to put on the proper sized gloves to do effective patient care and pull out the paper to write on.
If my gloves break, get blood, or other icky on them, I can pull them off and replace without worrying about losing all my notes.
Even for relatively clean patients, there's a definitive "ickyness" to holding onto the gloves used. Whether you keep the same pair of gloves on throughout the entire call or carefully pull off your notes and keep them with you until you transfer the info onto the PCR, they're still left bunched up on the bench seat of in your pocket or on the counter at the hospital....if you keep doing that with "clean" gloves you'll find yourself doing that with the "nasty" gloves and no one else that sees them knows which one they are and wont appreciate you repeatedly placing dirty gloves on their counter everytime you drop off a patient at their ER....
Plus by using simple paper notebooks, you completely avoid the original question of which pen works best on nitrile, or is anti-microbial etc, pretty much every pen will work fine with standard pocket sized notepads.