Verb (used with object) : He had used liquor to narcotize his anxieties.    From Dictionary.com. 

Verb (used without object) : a remedy that does not heal but merely narcotizes.    From Dictionary.com. 

The Arabs use the thick and acrid milk of the green bag with steel filings as a tonic, and speak highly of its effects; they employ it also to intoxicate or narcotise monkeys and other animals which they wish to catch.    From Wordnik.com.  [Personal Narrative of a Pilgrimage to Al-Madinah and Meccah] Reference

Coffee, cocoa, excessive sweets, every food-element tending to narcotise or over-stimulate the system was rigorously excluded.    From Wordnik.com.  [The Patient Observer And His Friends] Reference