Zannier said that the move was part of efforts by the Kosovo authorities to establish their institutions across the territory, but that such actions "are opposed by the Kosovo Serbs in the north."
Zannier expressed his deep regret over the violence and offered his condolences to the victim's family.
"I call on all sides to refrain from provocative statements and to remain calm, and on all competent law-enforcement authorities to take urgent measures to bring the perpetrators to justice," Zannier said.
He also reiterated UN Secretary-General Ban Ki-moon's call on all sides to commit to dialogue in addressing challenges in northern Kosovo.
Speaking to reporters after the council meeting, Kosovo Foreign Minister Skender Hyseni described Friday's attack as "an isolated criminal act."
Hyseni said that a thorough police investigation is going on and the authorities "are determined to investigate the case and bring the perpetrators to justice."