Call of Duty Modern Warfare II DLC would be released in the fall of 2023, and a full-fledged new part of the series would only be released in 2024, according to previous reports. However, Activision has stated that a full-fledged new part of the series will be released in 2023, without giving any specifics.
Jason Schreier, an internationally well-known gaming journalist, has published an article on the release of Call of Duty in 2023:
Activision decided to postpone Treyarch's next full-fledged Call of Duty to 2024, while "close the hole" commissioned Sledgehammer Games in 2023.
The new Call of Duty is still in the works, although it is unlikely to be Modern Warfare III.