Apple TV+ is a service within the Apple TV app. At this time there is no Apple TV app for any consoles including the PlayStation 4 or Xbox One. Apple did announce that Apple TV+ will be available on "other platforms" including Samsung smart TVs in the spring and Vizio, Sony, LG, and others “in the future.” Roku and Amazon’s Fire TV devices were also listed as getting the service "in the future."
Apple would need to release an Apple TV app specifically for the PlayStation 4 or Xbox One for users to access Apple TV+. While this seems like a smart idea if Apple wants to compete with Netflix and Amazon, it seems unlikely.