The 2021 US Open champion plans to do a training block over the next two to three weeks and will not play any WTA tournaments.
It is unclear when she plans to return to match action.
Raducanu’s withdrawal means British captain Anne Keothavong is assessing her options, but likely to call another player into a five-woman squad.
Katie Boulter, Sonay Kartal, Harriet Dart and Olivia Nicholls were initially named alongside Raducanu for the new round-robin format at Sportcampus Zuiderpark in The Hague between 10-12 April.
Great Britain face the Netherlands and Germany, with the top nation from the week sealing a place in the Finals later this year.
The other two teams will meet in the play-offs for the chance to return to the qualifiers in 2026.
