The former France international believes his ex-teammate can be a success in the position if he takes on the role again in the near future.
Zidane initially held the role under Jose Mourinho before stepping down to pursue coaching qualifications back in September, with some reports suggesting the pair had fallen out. But the 40-year-old has remained on the club's payroll since then and is now set to return to his previous position once Jose Mourinho has officially left the club and Florentino Perez is re-elected as Madrid president in June.
"He shoulders responsibility well and has an excellent temperament," Pires told RMC Sport. "He knows football by the heart."
Paris Saint-Germain coach Carlo Ancelotti is widely expected to replace Mourinho at Estadio Santiago Bernabeu after revealing his desire to leave the club following an approach from Los Blancos. Pires is convinced that Ancelotti and Zidane will work in perfect harmony, with his former international teammate a comforting figure to have by his side.
"If Ancelotti must rely on him in relation to his knowledge then he can be a big help," Pires said. "He can be an excellent sporting director. It is up to him to make the decision if he wants the job, but it would be good for French football to see Zidane on a bench again."