Green’s Dictionary of Slang

satch n.2

also sach, sacht
[SE saturate]

(drugs) paper or clothing that is saturated with a drug solution (usu. used to smuggle drugs into prisons or hospitals).

[US]A.J. Pollock Und. Speaks.
[US]D. Maurer ‘Argot of the Und. Narcotic Addict’ Pt 1 in AS XI:2 125/2: sach. A method of concealing dope. The addict who anticipates arrest may soak some part of his garments, usually his shirttail, in a saturated solution of morphine, heroin, or cocaine.
[US]B. Dai Opium Addiction in Chicago 203: Sacht. Any article that is impregnated with drugs is said to be sacht [...] A piece of the sacht is put in a cup or spoon, water put on it, heat applied, and the drug goes back to solution.
[US]Goldin et al. DAUL 184/2: Satch. Narcotic sent in a letter by saturating paper, or by placing a tiny piece of saturated paper under stamp; narcotic saturated in shirts, or underwear.
[US]R.R. Lingeman Drugs from A to Z (1970).
[US]ONDCP Street Terms 18: Satch — Papers, letter, cards, clothing, etc., saturated with drug solution (Used to smuggle drugs into prisons or hospitals).

In compounds

satch cotton (n.) [cotton n. (1a)]

(drugs) fabric used to filter a narcotic solution before injection; the cotton may be boiled later and the drug residue used.

[UK]J.B. Williams Narcotics and Hallucinogens.
[US]E.E. Landy Underground Dict. (1972).
[US]D.E. Miller Bk of Jargon 340: cotton: Also satch cotton. The small piece of cotton through which heroin is filtered into the syringe in order to remove any impurities.
[US]ONDCP Street Terms 18: Satch cotton — Fabric used to filter a solution of narcotics before injection.