Zheng was beaten in the final of the year's first major by Aryna Sabalenka in January but enjoyed a successful campaign, claiming the Paris Olympics gold medal and WTA Tour titles in Tokyo and Palermo.
The Chinese player, who was runner-up at the Wuhan Open and the WTA Finals, competed in 68 matches this season.
"After the long season that 2024 was for me, I need a few extra weeks of rest, recovery, and good training to get ready for the new season," Zheng said on Instagram.
"I had such a fantastic time at the United Cup in January of this year, and therefore will miss the event greatly.
"Still, I'm so excited to be back in Australia soon and I will see you all in Melbourne in a couple of weeks."
--Reuters--