Griffey, the son of Hall of Fame baseball player Ken Griffey Jr., was signed by the club as an undrafted free agent on May 4 on a three-year, $1.66 million contract, but was waived with an injured designation in June, allowing him to stay with the club until his injury healed.
Griffey will now look for a new NFL team to catch on with in time for training camp, which starts in mid- to late-July depending on the team.
The 6-foot-2 receiver played in 44 games in four years at Arizona, tallying 79 receptions for 1,241 yards and six touchdowns.
Griffey’s best season was his sophomore year when he caught 31 passes for 405 yards. As a senior, Griffey caught 23 passes for 382 yards as the Wildcats suffered from quarterback instability.
Follow Ryan Kelapire on Twitter at @RKelapire