It might be an American thing, but "manual strangulation/throttling" is understood to be using your hands to encircle the neck of another person and choking them.
"Manual strangulation, also known as throttling, is a type of asphyxial death where the perpetrator uses his hand to encircle and compress the front and side of the neck. It is a common method of homicide, most often encountered when the physical size and strength of the assailant exceeds that of the victim."
Homicide by a combination of three different asphyxial methods - ScienceDirect
*Warning: Graphic photos at link.