The deal McDonald's struck with former licensee Alexander Govor included a set of requirements the new brand, Vkusno & tochka, must stick to, including restrictions on branding, colour scheme and product usage.
New owner Alexander Govor said this week he and the management team regularly talk over video link to the former parent company.
"We are not talking about how they somehow participate in our business, this is already done," Vkusno & tochka, which translates to "Tasty & that's it," CEO Oleg Paroev told Reuters.
In a statement to Reuters, McDonald's said it fully exited the Russian market earlier this year.
Russian authorities in June said McDonald's has an option to buy back its Russia restaurants within 15 years.