"Why is that, if you don't mind me asking?" Parrish wasn't trying to be nosy. he was genuinely interested. because he was a hell hound, and he required a bit more than what a man his size should eat. He hung out with werewolves, and he was quite familiar with their appetites. But he lacked the ability to sniff someone out, he had no idea if someone was human or not just by meeting them.
He appreciated the offer of the food, and since Bucky insisted, he wasn't going to refuse. No, he'd attempted to decline, but Bucky had insisted. Parrish wasn't a fool. He wasn't going to decline a second time. He wanted to build bridges here, not burn them. Even if the guy wasn't entirely human. That wasn't a reason to reject him, or his friendship, out of hand. For one thing, it would be hypocritical since Parrish wasn't exactly human, himself.
And he was hungry. Very hungry.
"Unfortunately, I don't have any experience fletching," he added. "I'm willing to try, of course, But I don't know how good at it I'd be." He was willing to try, he'd do whatever it took to pitch in and help, that was just the kind of guy he was.