Relief and Works Agency for Palestine Refugees in the Near East, said he saw no contradiction between supporting Palestinian refugees and building ties with Israel.
"You can have strong bilateral relations with Israel and be a strong supporter of the agency," Lazzarini told Reuters.
"Whatever rapprochement or ties (with Israel) should not have the slightest impact on your commitment and your solidarity with the Palestine refugees and your support to an agency like UNRWA.
"We have normal access when it comes to delivering our services in Gaza and the West Bank, but we are very concerned about the increased violence impacting this community," he said.
Last year saw the worst levels of violence in the West Bank in more than a decade after Israel launched a crackdown on militants in response to fatal Palestinian street attacks.