Nebenzia told reporters at United Nations headquarters in NY that he reminded the council that the coalition wasn't invited into Syria, and Russian Federation sees that its fight against "international terrorism" is going "beyond that".
The agency described the strikes as being an act of "aggression".
The letter also said the Syrian government wants the "illegal" USA -led coalition dissolved, as it is "a force of protection and support to terrorism".
The Syrian government and Russian military have repeatedly, despite.
The Observatory said 211 people have been killed in eastern Ghouta since Monday.
Meanwhile, in eastern Syria, the regime is accusing the USA of "aggression" after the Syrian government and the US -led coalition exchanged direct attacks in Deir el-Zour province.
It also said one child was killed and six people were injured after shelling hit a vehicle carrying civilians in the city of Azaz on February 5 and they were transferred to hospitals in Turkey for treatment.
Zeid called for civilians to be protected and for the "prevailing climate of impunity" to end.
In Damascus, the official SANA news agency said the local fighters were battling militants from the so-called Islamic State and the US -backed SDF in the area. As the USA tries to keep the focus on the fight against ISIS - which has been routed out of its former Syrian strongholds - tensions are growing between Kurdish and Turkish forces, both of which are allied with the Americans.
It has been rare for regime and US forces to directly target each other, as NPR's Tom Bowman reported Wednesday.
The drastic escalation in fighting has tightened the siege on some 400,000 people who are trapped in Eastern Ghouta with little access to food and medicine.
Another 812 civilians were injured, it said.
Turkish President Recep Tayyip Erdogan has rejected the recent statement by the head of Turkey's Republican People's Party (CHP), Kemal Kilicdaroglu, regarding a potential meeting between Ankara and Damascus, Al-Masdar News says.
Turkey agreed to set up 12 observation posts in Idlib and neighbouring provinces under a deal reached with Tehran and Moscow to try to reduce fighting between pro-government forces and mainly Islamist insurgents in northwest Syria.