So you playing with a mouse against someone on the phone is kinda cheating but don't worry. Can mobile COD players play with console players? No.Only PlayStation, Xbox and PC players can cross play.
As the title suggests, Call of Duty: Warzone Mobile is a mobile-exclusive game with no crossplay features. Players can only team up with and compete against other mobile users. Essentially, WM will have dedicated servers separate from PC, PS5, PS4, Xbox One, and Xbox Series X/S versions.