1. Ratcliffe co-ownership is not even officially ratified yet, is it? He has no official role at the club yet and neither have any of his people.
SO OF COURSE he cannot go around proclaiming, to journalists or bystanders, how he would like to sack the manager. It would be highly irresponsible and unprofessional, publicly weakening and torpedoing the man currently in the job without being in a position to do anything about it, really.
2. Even if replacing Ten Hag were a priority for him, the proper course of action would STILL be to deal with the board structure and responibilities first and install the proper people there, before hiring a new manager.
So really, nothing about this is in any way note- or critique-worthy.