Kearse, who will be a free agent, had career highs this season in receptions (49), receiving yards (685) and touchdowns (5).
"I love my hometown, but I've put in too much hard work to give a discount," Kearse said via text message. "My number one priority is to take care of my family's future, so I will consider all opportunities."
The 25-year-old Kearse was born in Lakewood, Washington, and played college football at the University of Washington. In four seasons with the Seahawks, he has caught 112 passes for 1,599 yards and 10 touchdowns.
He had 11 catches for 110 yards and two touchdowns in the Seahawks' loss to the Carolina Panthers in the NFC divisional-round playoff game.
The Seahawks, in addition to Irvin and Kearse, have a slew of players set to hit the free-agent market, including right guard J.R. Sweezy, left tackle Russell Okung, cornerback Jeremy Lane and defensive tackles Brandon Mebane and Ahtyba Rubin.