Capcom announced that the PS4, PS5, and Xbox ports of Monster Hunter Rise will be digital only. So far, it does not plan to release physical copies of the game. This is an update to the news from early December 2022 that Monster Hunter Rise will appear on the PS4, PS5, Xbox Series X, and Xbox One. [Thanks, Gematsu!]
For reference, the only way to get a physical version of the game is to purchase it for the Nintendo Switch. When Capcom ported it to PC in 2022, it was also digital only. The lack of a physical release of Monster Hunter Rise is the latest in updates regarding the PS4, PS5, and Xbox ports. Capcom previously announced that there would be no cross-save support between the PS4 and the PS5 versions of the game.