Mexico has not hosted a Formula 1 race since 1992, when Nigel Mansell won for Williams at the Autodromo Hermanos Rodriguez in Mexico City.
Slim, whose Escuderia Telmex driver programme has helped both Sergio Perez and Esteban Gutierrez reach Formula 1, believes that Mexico's two drivers - as well as the sport's increasing prominence in America, will help Mexico's prospects.
"I believe there is potential to do more races in the Americas and I believe that Mexico is in the right spot to do it," Slim told FIA publication AUTO.
"It's a stable country by and large, our economy is doing quite well and we have drivers people can identify with."
"All of the pieces are coming together and I believe the potential promoters are doing a good job in trying to secure something."
Mexico is one of a number of countries that have declared their ambitions to host a Formula 1 event.
Next season, a second race will be held in the USA in New Jersey, while the inaugural Russian Grand Prix will take place in Sochi.