The Chiefs were left with 76 players on the roster.
Stanzi was beaten out for the No. 3 quarterback job by undrafted free agent Tyler Bray. He was joined by wide receiver Terrance Copper and defensive back Neiko Thorpe in players who were part of last year's 2-14 team that were involved in the first round of cuts.
Also cut Sunday were cornerbacks Vince Agnew, Otha Foster III, Kamaal McIlwain; offensive linemen Ryan Durand, A.J. Hawkins and Hutch Eckerson; defensive ends Miguel Chavis and Rob Lohr; running back Jordan Roberts and wide receiver Tyler Shoemaker.