The average salary for anesthesia technician jobs is $37,000. Average anesthesia technician salaries can vary greatly due to company, location, industry, experience and benefits.This salary was calculated using the average salary for all jobs with the term anesthesia technician anywhere in the job listing.verage anesthesia technician salaries can vary greatly due to company, location, industry, experience and benefits. This salary was calculated using the average salary for all jobs with the term anesthesia technician anywhere in the job listing.