I only chose to use "амслен" in my response to fill in the parentheses. I am sure it is not used by regular Russians working outside the field of assisting people who are deaf. Like I said, I had to look it up myself. I wouldn't use this term unless I were willing to clarify what it means.
The Russian word for "Russian Sign Language" is "русский жестовый язык"
Of course, not every hearing person here in America knows "ASL" term itself. I am aware of the possibility that Russians don't know what is "амслен". By the way, please use "Deaf", as we - Deaf people - don't like to be identified as "hearing impaired". It implies that one whose an ability to speak and listen is superior to the one who lacks it.
Anyway, thanks for your help! I appreciate it greatly.
@Azael47 Oh no..I was really worried about which term to use and I ended up remembering an old video lesson that said "hearing impaired" was okay to use. Little did I know. I'm so sorry! I stand corrected.