I think the new manager conversation needs to account for TFG.
What is their knowledge of managers and who is advising them -- clearly they appointed Mourinho and Juric both with experience in Italy. De Rossi and Ranieri had the Roma links.
So, on the managerial side it might be they look for someone with prior experience in the premier league -- or realise that this strategy failed at Roma and look overseas.
Hard to tell.
The Sporting Director Florent Ghisolfi was at Lens and then Nice. A very young appointment (only 39 now) who signed players from all over
https://www.transfermarkt.com/asroma/transfers/verein/12/saison_id/2024
After writing all this, I have no clue what type of manager they'd go for. So far, there appears to be no pattern.