11 hours ago. $2.16update. There are 16 Regular gas price reports in the past 5 days in Chicopee, MA Zip Code 01020. The average Regular gas price in Chicopee, MA Zip Code 01020 is $2.10, which is $0.66 lower than U.S. national average Regular gas price $2.76.The lowest Regular gas price is $2.06 of Citgo located at 945 Burnett Rd, Chicopee, MA 01020.here are 16 Regular gas price reports in the past 5 days in Chicopee, MA Zip Code 01020.