Searching for strings with double quotes in SQL Server
If there is only one double quote then you should try
select * from tablename where columnname like '%"%'
If you know that there are two consecutive double quotes then, I would suggest you to use a like statement
select * from tablename where columnname like '%""%'
Otherwise if you don't know then you should try(Which is more preferable)
select * from tablename where columnname like '%"%"%'
Try this.
SELECT * FROM tb WHERE col Like '%"%'
Or
SELECT * FROM tb WHERE CHARINDEX('"',col) > 0