awk command to find particular pattern in file.

Hi
I am using the following command to look for anything other than
"0000" in a comma seperated file on 11th field.
Note: I am looking for "0000" including the double quotes.

nawk -F"," '$11!='"0000"'{print $11}' file

This is showing incorrect result.
Help is appreciated

nawk -F"," '$11!="\"0000\""{print $11}' file

nawk -F"," -v qt='"' ' $11 != qt"0000"qt {print $11}' file