Maradona will begin his new job after the conclusion of the 2018 World Cup, according to the club, who won the Belarusian Super Cup with a 2-1 victory over BATE in March.
With Fujairah he left the club after failing to secure promotion to the UAE's top flight in April.
Maradona was linked initially with a return to the Fujairah hot-seat in a frenzied few days following his departure, but has now made the unlikely move to board level at Brest.
"Yes, Diego is with us!"
The club say Maradona's role will see him "deal with strategic development of the club".
"Thanks for the confidence and for thinking of me": Diego Maradona.
Dinamo, based in the south-west of Belarus, are now in eighth position in the country's Premier League.
He will assume his duties after the end of the world Cup, which will start soon in Russian Federation. He had previously managed Al Wasl, but was dismissed in July 2012, midway through a two-year contract.