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.”
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.
If you want to watch Apple TV+ now, the service is already available through a physical Apple TV boxtop or other boxtop devices such as Roku or Fire TV. All three of these devices are pretty affordable, especially the Roku Express HD.