Perez (elbow) will serve as the Royals' designated hitter and bat fourth Saturday against the Angels.
The Angels transferred Rivero (hand) to the 60-day injured list Saturday.
Grissom isn't in the lineup for Saturday's game against the Royals, Erica Weston of Angels Broadcast Television reports.
The Angels selected Fulmer's contract from Triple-A Salt Lake on Saturday.
The Angels optioned Peralta to Triple-A Salt Lake following Friday's game against the Royals.
Lowe went 1-for-4 with a solo home run Friday in a loss to the Royals.
Gonsolin (elbow) threw a three-inning, 45-pitch live batting practice in Arizona on Friday, Jaylon T. Thompson of The Kansas City Star reports.
Witt went 1-for-3 with two runs scored and two walks in Friday's 7-6 win over the Angels.
The Angels claimed Martin off waivers from the Rays on Saturday and optioned him to Triple-A Salt Lake.
Caglianone went 3-for-4 with a home run, five RBI and two runs scored in Friday's 7-6 win over the Angels.
