FWIW, I had a quick look at the Lestoh forum and they have a poll for who they want as manager - the three clear leaders are Potter, Corberan and Moyes. Cooper is in joint 7th place with Nigel Pearson, behind those three plus Robins, De Zerbi and Pochettino.
I suspect that given their financial / PSR situation they're not going to be able to pay compensation for Corberan or Robins, they're not going to be able to afford Pochettino's wages, and De Zerbi didn't walk away from a good job at a well run club with a decent squad to take over a basketcase that's likely to be fighting relegation. Moyes and Potter are probably their best bets but they also might think they're above a relegation fight, so Cooper could be their likeliest bet.