Pochettino has been linked with Manchester United, Arsenal and Bayern Munich since he was sacked by Tottenham last month.
Maradona – manager 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 after 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.
"I want to finish in the best way. First I want to save Gymnasia [from relegation], then we'll see."
Boca sits second in the Superliga, a point behind leader Argentinos Juniors, while Gimnasia is 21st in the 24-team division.