Kerber had been struggling to recover from a protracted bout of flu and confirmed that she was under doctor's orders not to play this weekend.
"I am disappointed and sad to miss the Latvia tie," Kerber, ranked fifth in the world, said in a statement.
"Even though I can't be there with them, I am in contact with the team and I am sure that the girls will triumph in the play-off."
Team captain Jens Gerlach has nominated Mona Barthel, ranked 85 places below Kerber, as the replacement on the German team.
"The whole team wishes Angie a quick recovery and we hope to see her on court again soon," said Gerlach.
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