Mathieu returned to practice Wednesday after spending about 8.5 months recovering from ACL and LCL surgery. On Friday, Cardinals coach Bruce Arians said he would evaluate Mathieu's chances of playing on Saturday.
Ta'amu, who tore his ACL in Week 17 last year, also returned to practice Wednesday.
Minter was on the field about two hours before kickoff going through a series of running drills with Arizona strength and conditioning coach Buddy Morris. Linebacker Kenny Demens will fill in for Minter. Cooper will miss his second straight preseason game and is expected to be replaced in the starting lineup by Ted Larsen.
One name not on the list was outside linebacker John Abraham, who reported to training camp on Aug. 14.