Pochettino has been linked with Manchester United, Arsenal and Bayern Munich since he was sacked by Premier League side Tottenham last month.
Maradona – head coach of Argentina's Superliga side Gimnasia y Esgrima La Plata – nominated Pochettino to return to his homeland and lead Boca, who are looking for a new coach after Gustavo Alfaro stepped down.
After Boca and Argentina great Juan Roman Riquelme returned to the club as vice-president following December's election, Maradona was asked if he would move back to the powerhouse team following two spells.
"I will not go to Boca… because I repeat that I do not agree with those who will manage the club," Maradona told Ole. "The president [Jorge Amor Ameal] was already there and it was a disaster, he surrounded himself with [vice-president Mario Pergolini] who believes that he can handle the club.
"And Roman... a club is not run within the locker room. It's much harder than stopping the ball, giving a pass or kicking a free-kick.
"Boca have to take a technician to play and feel what Boca is. It's not easy to sit in that chair. The best of all is Maradona [laughs].
"But now I will not go, there at some point it happens. But I would like Mauricio Pochettino. You have to call him and convince him to come to lead the biggest team in the world."
Maradona added: " I want to finish in the best way. First I want to save Gymnasia [from relegation], then we'll see."
Boca are second in the Superliga, a point behind leaders Argentinos Juniors, while Gimnasia are 21st in the 24-team division.