BEIRUT, Lebanon — Hundreds and hundreds of antigovernment protesters braved scattered gunfire from Syrian soldiers to march through a middle-class neighborhood in Damascus on Saturday, the biggest demonstration witnessed close to the heart of the capital since the country’s uprising started 11 months ago.

The neighborhood, Mezze, skirts the hill on which the sprawling white presidential palace sits, and as row upon row of demonstrators walked along, wrapped tightly in heavy coats amid a snowstorm, more than a few expressed the wish that President Bashar al-Assad could hear them.

“I hope President Assad opens the window of his office and sees how Damascenes are shouting against him and his regime,” said Usama, 22, a university student from the neighborhood, giving only his first name out of fear of retribution. “The regime thought we were asleep, but it doesn’t know that when we wake up his regime will be gone.”

The relative calm of Damascus, as well as Aleppo, Syria’s largest city, throughout the uprising has been cited repeatedly by the Assad government to buttress its argument that it enjoys wide support in Syria. Officials maintain that the demonstrations and unrest in rebellious cities like Homs, Hama and Dara’a, all sites of brutal government crackdowns, are the work of foreign infiltrators.