According to Oxford Dictionary Online,
US Discharge or dismiss (someone) from service or employment.
chiefly North American End the employment of (someone); dismiss: Adamson’s putting pressure on me to terminate you
MORE EXAMPLE SENTENCES
The Plaintiff testified that she was shocked that she was terminated from her employment.
An at-will policy allows employers to terminate workers at the company's discretion.
When someone is terminated, sit down with each employee individually and tell them why that happened, Duffy says.
My question is, by analogy with Adamson's putting pressure on me to terminate you/to lay you off and I've just been notified through the mail that I've been terminated/laid off, is it acceptable to say, Adamson's putting pressure on me to separate you and I've just been notified through the mail that I've been separated?