Earth’s atmosphere is divided into 5 layer, from the outer layer it will be: Exosphere, Thermosphere, Mesosphere, Stratosphere, Troposphere. The coldest area of the atmosphere would be the middle layer called mesosphere. The average temperature of this atmosphere is −85 °C , a bit lower than stratosphere temperature −60 °C.
The coldest layer of earth’s atmosphere is the Mesosphere
The mesosphere is the layer of the Earth's atmosphere that is directly above the stratopause and directly below the mesopause. In the mesosphere temperature decreases as the altitude increases.