Under Federal Law in general terms, an air rifle is not a firearm as it uses compressed air as a propellent and not an explosive. There are exceptions, and they leave plenty enough room for individual States to see things differently.
That being said, don't get lost, the definition of a suppressor is the only part of the issue that matters.
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Colt M1911, AR-15 | S&W Model 19, Model 27| SIG P238 | Berreta 85B Cheetah | Ruger Blackhawk .357MAG, Bearcat "Shopkeeper" .22LR| Remington Marine Magnum SP 12GA., Model 700 SPS .223
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