Destroyer was released in 1976 and is the band's first album to sell a million copies.
Frehley said, "I'm on good terms with Paul and Gene,"
The engagement at Planet Hollywood will launch the last week of December.
Simmons credited his vaccination for keeping his infection "minimal".
The diagnosis comes less than a week after his bandmate Paul Stanley's.
The band issued a statement confirming the diagnosis after the PA venue tweeted that the show on Thursday night was being rescheduled.
Simmons implied in a recent interview that the former VH frontman was past his prime.
Stanley says Eric Carr turned KISS onto Metallica with the Black album.
Roth was the opener for the February/March 2020 leg of KISS's farewell tour, but is not on the rescheduled dates.
It marked their first full-length live appearance in front of an audience since March of 2020.