Sarri was sacked after just one year in charge as Juve were knocked out of the Champions League by Lyon on Friday.
Italian journalist Tancredi Palmeri has told talkSPORT Juventus have contacted Pochettino, Lazio's Simone Inzaghi, Atalanta's Gian Piero Gasperini and former Inter Milan boss Luciano Spalletti over taking charge in Turin.
He said: "Juventus have contacted to check the availability of four other managers.
"Those four have all said 'yes', but we are not talking about an offer, just contact to check their availability.
"Those four managers are Mauricio Pochettino, Simone Inzaghi at Lazio, Luciano Spalletti, who is currently without a team, and finally Gian Piero Gasperini, who has been a sensation with Atalanta in the Champions League this season."
Cristiano Ronaldo scored twice in Juventus' 2-1 win over Lyon, but it was not enough as the French club went through to the Champions League quarter-finals on away goals.
Palmeri admitted Ronaldo, 35, will get a say on who Juve's next manager is.
He added: "It seemed like things were unfolding badly [for Sarri]. The relationship never clicked with Cristiano Ronaldo.
"Yes, they won the title, but they played so badly in so many games. They won the title because they couldn't do less.
"I think Cristiano always has a say, he had a say also last year. He had endorsed [Zinedine] Zidane and [Jose] Mourinho, but Juventus for one reason or the other couldn't make it happen with them.
"Cristiano will for sure have a say [in the next appointment], it doesn't mean Cristiano will decide.
"But you can be sure when the management have to choose the next manager, they will talk with the old guard, [Giorgio] Chiellini, [Gianluigi] Buffon, [Leonardo] Bonucci and Cristiano, obviously."
Former Tottenham boss Mauricio Pochettino is on a managerial shortlist to replace Maurizio Sarri at Juventus, talkSPORT has been told.