The Bengals have said that they won't trade Chad Johnson, but of course, the Bengals also once said that they're concerned about issues of character on the team, so you'll have to forgive me if I'm not inclined to take the Bengals at their word.
And, as is the case with every other player who's also been both famous and available, Dan Snyder is said to be interested in acquiring Johnson. From Jason La Canfora in today's Washington Post:
Numerous league sources, including some with direct knowledge of conversations between Snyder, Cerrato and recent head coaching candidates, have affirmed that the Redskins have interest in trading for Cincinnati wide receiver Chad Johnson, with two league sources saying Johnson is eager to land a hefty new contract from Washington.
Acquiring an elite receiver is Snyder's top priority, league sources said. The Bengals have said they have no intention of trading Johnson, but his agent, Drew Rosenhaus, is working quietly to broker a deal, the sources said.
It hasn't worked out real well for teams that have cut ties with star receivers in the past (see the post-Moss Raiders or the post-Owens Eagles for examples). But a lack of locker room chemistry is killing the Bengals, and if they could fleece anyone out of enough assets to make a deal worthwhile, you'd have to think it would be Snyder and the Redskins.
What does new head coach Jim Zorn think of acquiring Chad Johnson? It doesn't matter. Not even a little bit.
• Redskins' Offseason: Now It's On / Washington Post