"I'm extremely excited to be here," Flynn told the club's official website. "I think it's a great opportunity.
"I get to come in and learn a different offense and just get to keep playing and that's the main thing.
"Just being around here all day and I enjoyed being around the town, I enjoyed being around the guys just seeing everything, the facilities and everything like that. I'm excited and I'm ready to start digging into the playbook."
The Bills are 2-4 in their season following their defeat to the Cincinnati Bengals.