"There was no trade requested. That isn't even a topic of conversation in this building," Brandon told "The Howard Simon Show" on WGR 550 in Buffalo. "I know these reports come from all over the place. I don't know where they come from at times."
The Buffalo News reported last week, citing "an executive on another NFL club and another agent who is not employed by Byrd," that the objective of "Byrd and his agent is to engineer a trade from the Buffalo Bills by the NFL trade deadline."
Byrd also questioned the report last week.
"From what I understand, someone is saying 'sources.' I would like to know what sources they're talking about before you can say sources," he said.
Brandon did not rule out the possibility, though, of entertaining a trade offer from another team.
"We always listen to anything from our fellow clubs," he said. "[But] our focus is seeing [Byrd] get back on the field."
The Bills designated Byrd as their franchise player in February, but the Pro Bowl safety did not sign his franchise tender until Aug. 20. He did not play in the final two preseason games or in Sunday's season opener due to foot soreness.
Byrd said he has a "working relationship" with general manager Doug Whaley.
"I don't want to get into all that. I'm an employee of the Buffalo Bills. He's the general manager. There you have it. We're here to win games," Byrd said.
Brandon said Byrd has been "the exact same guy he's always been" when asked whether his demeanor toward the team has changed since the contract dispute.
"He's nothing but a true professional, and he's a great teammate," Brandon said.