Well, there are several kinds of .22 rimfire ammo, the most common being .22 Short, .22 Long and .22 Long Rifle (note that .22 Magnum is a different beast). All 3 of those are safe to fire from any gun chambered for .22 LR, in the sense that it will fire ok and won't damage the gun.
However, semi-auto .22's need a round with enough recoil to cycle their action, so they typically have to have high velocity .22 LR rounds to function reliably. Also, magazine-fed .22's usually won't feed Shorts or Longs reliably, but you can still fire them by chambering them one at a time.
So, I'd long closely at the ammo you got. If it actually says something about not using it in semi-autos, I would guess that it's probably standard velocity or subsonic .22 LR. You can try it, but it probably won't have enough power to cycle the slide.
Personally Federal bulk pack is my go-to .22LR and it works beautifully in my Ruger MkIII. I've heard that conversion kits can be finicky though, so you may have to experiment with a few different brands. CCI Mini-Mags are a good choice if nothing else will run in the gun, but they're more expensive of course.