I have never known any airgun guy or firearm guy to be a convicted felon, but nearly the exact opposite: law abiding, respectful members of society trying to educate and have responsible fun.
That you know of, not every felon goes around advertising that they are felons. They paid their debt and want to put it behind them. Nothing wrong with that.
Depends on what the debt is. Did you kill someone?
None of my friends are felons. I have a pretty tight group, and they are all kosher+couple of them work in law enforcement. You should know your friends well enough to know their background. I am not saying not to be friends with a rehabilitated felon, but I am saying you should know your friends.
People do many bad things in their past, and sometimes they are wrongfully prosecuted (rare but I have seen it) or over charged by a prosecutor and convicted for a charge that should have been a misdemeanor. There are gross negligence felonies too where an individual made some horrible mistakes that ended with prison time.
Hence, be careful, shoot careful, and be responsible in all aspects of your life.
As for the OP, I would consult a lawyer with your parole docs in hand, and subsequently your parole officer. Pay for the session. Don’t just ask someone. If you are cleared for it, get a hunting license and do the hunter’s course - the last thing you want is another misdemeanor or felony adding to your record like child endangerment when shooting in the direction of a house with kids or within a certain distance of a school or school bus stop (yes that stuff can come into play). I would also talk to your lawyer about safe transport as every state has different laws, and especially being a convicted felon you should take transporting an airgun with a lot of serious precaution - something that looks like a gun and for all intensive purposes in the eyes the officer with two kids at home IS a gun if visible (they pull your record with your license plate or DL obviously).
If it were me, and I hate to say it, I would steer clear of anything that even looks like a gun. It isn’t worth your newly obtained release and life. If it were I, I would pursue bow hunting.
Sorry about being contrary. If you decide to go through with it, consult lawyer and not a forum.
-Lt