The average Texas game warden salary of $53,000 as of 2013 was about 9.3% higher than the nationwide average of $48,070 that year.This is based on statistical data released by the Labor Market & Career Information Department of the Texas Workforce Commission.he highest paying area in the state for game wardens in 2013 was North Central Texas, where the average salary was $53,441. This area includes the cities of Dallas, Fort Worth, Arlington, and Plano.