Pochettino is probably the most overrated manager in the history of football. I never understood why his D was ridden so hard by football fans. He didn't win a single title at Spurs, his only achievements at the club are finishing third behind Arsenal in decline and Leicester, finishing 2nd, almost KO'ing Juvenuts and doing nothing in a CL final. Spurs in that period only looked good because all other major clubs in the PL were going through transition.
Would be a horrible decision to hire Poch. Of realistic choices I'd go with Conte, Allergy, Inzaghi, or Jardim, in that order.