It looks like Captain Price will return if a teaser for Call of Duty: Modern Warfare and Warzone is anything to go by.
Yesterday, Activision started teasing the upcoming Call of Duty: Modern Warfare and Warzone season with notifications sent out via the Call of Duty mobile app. The notification indicated some sort of intel would be released on May 21, which is today.
Well, today, a newsletter with a link taking you to a Call of Duty website was sent out. When visiting the website, you are met with the following video:
As noted by Charlie Intel, the video seems to tease Price as an Operator for Season 4.
Infinity Ward has yet to announce content for Season 4, and unless the team decides to tease folks more, something should be announced soon.