In the trade, New Orleans sent Graham and a fourth-round draft pick to Seattle in exchange for center Max Unger and a first-round draft pick.
Graham, a three-time Pro Bowl tight end, indicated that he is looking forward to joining his new team but that there was a moment of "shock" upon learning of the deal.
When New Orleans coach Sean Payton called to tell Graham that he’d been traded, the tight end immediately worried that a bad team with lots of cap space — Oakland or Jacksonville, perhaps — had acquired him.
“But when he told me Seattle, it definitely put a grin on my face,” Graham said.
“I’ve had some battles clearly against their defense the last couple of years,” Graham said. “We’ve struggled against them as a team as a whole. It’s probably the one game as a player you always look forward to because they’re always so good, and it’s usually a prime-time game.
“So for me it was a moment of shock, but once that shock cleared, I realized that I was going to the best team in football.”
Graham caught 85 passes for 889 yards and 10 touchdowns last season despite being hampered by a shoulder injury.
The Seahawks went 12-4 and finished in first place in the NFC West before falling to the New England Patriots in the Super Bowl last month.