The 38-year-old Feely is a 13-year NFL veteran and has been the Cardinals' kicker for the past four seasons. He lost the job to Chandler Cantanzaro, an undrafted rookie out of Clemson.
Feely missed a 48-yard try in Sunday night's loss to Cincinnati.
Lindley was the third-string quarterback for Arizona the last two seasons but lost the job to rookie Logan Thomas, a fourth-round pick from Virginia Tech. Lindley started four games as a rookie two years ago.