Blues legend Zola, 51, is on a shortlist after Emenalo, 52, quit on Monday.
And many regard him as the ideal person to bridge frosty relations between chief executive Granovskaia and manager Antonio Conte.
Whoever the Blues appoint will report to Granovskaia rather than owner Roman Abramovich.
Zola's last job in football was as Birmingham City manager.
He said while in charge of Qatar club Al-Arabi two years ago: "My dream, let us say my ambition, is to be Chelsea manager some day in the future.
"However, I realise that I need to improve as a manager if I want to get there. "And I am working hard to achieve my goal."