[8] Nestorović was the head of the Department of Pulmonology and Allergology at the University Children's Hospital in Belgrade.

He gained notoriety for downplaying the impact of the COVID-19 pandemic, and his support for the anti-vaccination and alternative medicine movements.

[11] As a member of the COVID-19 crisis team, appointed by the government of Serbia, he proclaimed COVID-19 as the "funniest virus in the history of mankind".

[13] Nestorović was previously a member of the Serbian Renewal Movement and he took part in the protests against Slobodan Milošević in the 1990s.

Nestorović raised a controversy at the constitutive session of the National Assembly by comparing the Serbia Against Violence MP's to Gypsies.