Amegy Bank of Texas N.A. - Westchase Banking Center Home / Amegy Bank of Texas N.A. - Westchase Banking Center Share: BANKSCHAIRMAN'S CIRCLE MEMBER Amegy Bank of Texas N.A. - Westchase Banking Center Visit Website 10118 Westheimer Road Houston, TX 77042 (713) 232-5899 Visit Our Website Map What's Nearby? Distance: 5 10 15 20 25 50 mi.