FidelityFX Super Resolution technology, recently introduced by AMD, is definitely coming to Microsoft consoles. The company has confirmed that the Xbox Series S / X will support the new technology, and the company itself will soon reveal details.
FidelityFX Super Resolution support from current consoles is quite expected, since their GPUs are based on the RDNA2 architecture. At the same time, there is a difference between the implementation of this architecture in the Xbox Series and the PlayStation 5, so even now it is impossible to say for sure that the latter will definitely receive support for the technology. We need to wait for the official comments from Sony.
Recall that FidelityFX Super Resolution is supported by Radeon video cards starting with the RX 400 line, as well as GeForce video cards not older than the Pascal generation. However, in the second case, Nvidia will have to add support to its drivers itself.