Here is a brute force way, that should do what you want:
select (case when substring_index(col, '"', -2) + 0 > 0
then substring_index(substring_index(col, '"', -2), '"', 1)
when substring_index(col, '"', -3) + 0 > 0
then substring_index(substring_index(col, '"', -3), '"', 1)
when substring_index(col, '"', -4) + 0 > 0
then substring_index(substring_index(col, '"', -4), '"', 1)
when substring_index(col, '"', -5) + 0 > 0
then substring_index(substring_index(col, '"', -5), '"', 1)
end)
This breaks on the double quote character and tests if the value is a number. If so, it then extracts it as a string.