"Felon" takes in a whole lot of territory. I don't think 'Absolutely never' is the right answer, otherwise there is no reason for them ever to leave prison after they've served all their time, and no way to integrate the salvageable ones back into society (And yes, some are truly salvageable, but the ones who aren't serial, career criminals all do eventually get out and if they can't get real work, they'll be nothing but a drain on society and really have no choice but to go back to crime).
It would depend on things like the nature of the job, what the felony actually was, and how old the person was when it happened vs. how old they are now.