A commander for the Kurdish-led Syrian Democratic Forces told a senior United States diplomat that the U.S. was leaving them to be "slaughtered" as Turkey continues targeting America's allies in Syria.
Observatory Director Rami Abdulrahman also said 49 fighters with Turkish backed Syrian rebel groups have been killed.
A member of the Kurdish Internal Security Force stands guard during a protest in the northern Syrian town of Hasakeh on October 12, 2019, against the Turkish offensives on Kurdish-held towns.
"[.] That was a lie that was spun by the YPG", she said, referring to the largely Kurdish militia that forms the bulk of the US -backed Syrian Democratic forces.
Turkish President Recep Tayyip Erdogan said Friday that Turkey won't stop until the Syrian Kurdish forces withdraw below a 32 kilometer (20 mile) deep line from the border.
"We trusted the United States", said Sinam Mohamad, the U.S.co-chair of the Syrian Democratic Council, the political arm of the Kurdish-led SDF.
Turkey's defence ministry hailed its forces' capture of the first Kurdish-held town on the fourth day of their offensive.
It said one of its medical points south of Ras al-Ain was hit by Turkey on Saturday, injuring an ambulance driver and damaging the vehicle. The US does not want the Kurds turning to the Russians, administration officials say.
The statement affirmed total rejection of any Turkish attempts to impose demographic changes in Syria by using force under the pretext of creating a "buffer zone" as such an act would be a breach of worldwide law and a war crime against humanity. Erdogan threatened to send them to Europe if the European Union did not back his assault.
A map showing Turkey's suggested operation in Syria, is placed to be used for a TV broadcast by journalists in Akcakale, Sanliurfa province, southeastern Turkey.
"We always get displaced no matter where we go", Yusra Al Saleh, 38, who fled violence along Syria's northern border, said.
A humanitarian group in the region reported that as of Thursday, at least 11 people have been killed by the Turkish bombing campaign.
Turkey has said it aims to push back Syrian Kurdish People's Protection Units, or YPG, which it considers terrorists for their links to a decades-long Kurdish insurgency within its own borders.
U.S. Defense Secretary Mark Esper has told his Turkish counterpart they should de-escalate the conflict before the situation becomes "irreparable".
Turkish soldiers on Wednesday launched a cross-border assault against Kurdish fighters Turkey sees as terrorists, in defiance of global criticism and threats of sanctions.
Turkey is fighting them, claiming they are a terrorist organisation.
USA lawmakers introduced more legislation on Friday seeking stiff sanctions on Turkey over the offensive, underscoring unhappiness from both Democrats and President Trump's fellow Republicans in Congress over his Syria policy.