“I'm disappointed to get the news from the doctors that I won't be ready in time, particularly with it being on home soil,” Raducanu said in a Twitter post.
Britain is hosting the 12-nation event in Glasgow from November 8-13, where teams will play in four groups of three with the group winners progressing to the semi-finals.
Britain are due to face Kazakhstan and Spain.
Raducanu, 19, has struggled with a succession of injuries since her stunning U.S. Open triumph last year when she came through qualifying and took the title without losing a set.
“I tried to do everything possible to get it ready in time, since my last tournament I have been working every day on physical training and rehab,” she said.
“I've got confidence in my team mates and look forward to playing next year.”
Raducanu pulled out of the Transylvania Open this month due to the wrist injury.
Additional reporting by Reuters.