Blatter's threat came a day after French Football Federation (FFF) president Jean-Pierre Escalettes resigned in the wake of France's World Cup fiasco.
French Sports Minister Roselyne Bachelot had said last week Escalettes's resignation was "unavoidable".
"In France they have made an 'affaire d'Etat' with football, but football remains in the hands of the federation," Blatter told reporters on Tuesday.
"French football can rely on FIFA in case of political interference even if it is at presidential level, it is a clear message.
"We will help the national association and if cannot be solved by consultation then the only thing we have is to suspend the federation."
France's group stage exit, marred by the players' decision to boycott a training session in support of expelled striker Nicolas Anelka, has sparked soul-searching and high-level meetings in the country.
The players' boycott came after Anelka was kicked out of the squad by the FFF for insulting Domenech at half time of a 2-0 defeat by Mexico.
