The only thing I want to be able to do is come in and learn the offense, go out there and compete, show what I am capable of doing and try to get better as a football player.

He took late fourth quarter snaps at the end of major victories. In his Michigan career Griese had a 17–5 record as a starter. Miami Dolphins
In June 2003 he signed with the Miami Dolphins.

He has also played for the Miami Dolphins Chicago Bears and Tampa Bay Buccaneers. He is the son of Hall of Fame quarterback Bob Griese who also played for the Dolphins.