Konta still isn't ready to play after a left foot injury forced her out of the Hong Kong Open this month.
Konta was ranked a career-high fourth in July after reaching the Wimbledon semifinals. But the British player lost her first match at her last five tournaments, sending her to 10th.
Meanwhile, Garcia has won tournaments in Beijing and Wuhan.
Konta's withdrawal from Moscow makes Garcia the first Frenchwoman since Amelie Mauresmo in 2006 to qualify for the end-of-season finals, which begin on Oct. 22 in Singapore.