He wouldn't allow it, he'd actually be very skittish about it — but you can get around it by visiting while he sleeps!

There's no real way to extract them without cutting into his flesh — which you might need to pitch a way to do, but I'm open to hearing it, since there are three medics around and you can unite, haha — but if you look very closely when they're closer to surface, they are not dissimilar to the golden scales that Bucky got (and Caitlyn and Emilia will have now, also).

Just to confirm, they aren't always visible or present, they appear grotesquely now and then at the surface of his legs, as if they're floating on the inside of his body, trying but failing to carve their way out, then disappearing.