Pochettino, who has been out of work since being sacked by Tottenham last year, is the leading contender to replace him in the hot-seat, with executive vice-chairman Ed Woodward a huge admirer of the Argentine.
However, Berbatov has warned his former club that Pochettino will not be able to fix United’s lack of “aggression” and “passion”.
The 39-year-old told Betfair: “If there's truth to the Mauricio Pochettino rumours, it's hard to blame United really. When the team plays bad, the buck stops with the boss, and this has always been true.
“I saw him recently as a guest commentator, and he said he is ready to work again, so it's hard to stop those rumours.
“The one thing that won't change, however, are the players. A new boss won't change how they play. Yes, when you have a new manager you can see a bounce, but overall the attitude remains the same. No aggression, no passion, no holding each other to account.
“The players need to change their attitude as much as the manager needs to be changed.
“Many will say now is the time to make the change, others will say not yet, but watching this team now you probably would say there is something wrong.
“I’ve always been an admirer of Ole and a supporter of his, but if he continues like this then a change is inevitable. I still say United need a defender before they need a manager, a defender that is tactically aware.
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“Everton on Saturday now is a huge game for United, and I think if they lose this, it's probably the point where they look for a new manager.
“They are 15th in the table, could be lower depending on other results if they lose Saturday, and that isn't acceptable for a club like United. It's must win for United and Ole Gunnar Solskjaer.”