The claim is mostly true because multiple reliable sources confirm that Palestine has applied for BRICS membership and that China has expressed a welcoming stance toward including more like-minded partners such as Palestine in the BRICS organization for cooperation and development, although Palestine's membership is still pending and not finalized.
China says it will include Palestine in BRICS organization for its development.

Palestine applies for BRICS membership, says envoy; China ready to welcome more ‘like-minded partners’ - The Hindu
Source: thehindu.com
Key Evidence
The Hindu, Outlook India, Hindustan Times, Anadolu Agency, and other outlets report Palestine's formal application to BRICS.
Chinese officials have publicly welcomed more like-minded partners joining BRICS, explicitly including Palestine.
Palestinian diplomats confirm awaiting a response and continuing participation as guests or observers until full membership is possible.
What the Evidence Shows
Multiple independent and reputable news sources from mid to late 2025 report that Palestine has formally applied to join the BRICS group, which originally included Brazil, Russia, India, China, and South Africa and expanded in 2024. Chinese officials, including foreign ministry spokespeople, have publicly welcomed the application and expressed openness to admitting more like-minded partners to the BRICS cooperation platform.
This indicates China's supportive position toward Palestine's inclusion for development and international cooperation purposes. However, none of the sources indicate that Palestine has already been officially admitted as a full member; rather, Palestine is awaiting a formal response and may participate initially as an observer or guest until conditions allow full membership.
Therefore, while China supports the idea and Palestine has applied, the process is ongoing and not yet complete.