Without storing a new procedure you can use a code block and execute to obtain a table of occurences. You can filter results by schema, table or column name.
DO $$
DECLARE
value int := 0;
sql text := 'The constructed select statement';
rec1 record;
rec2 record;
BEGIN
DROP TABLE IF EXISTS _x;
CREATE TEMPORARY TABLE _x (
schema_name text,
table_name text,
column_name text,
found text
);
FOR rec1 IN
SELECT table_schema, table_name, column_name
FROM information_schema.columns
WHERE table_name <> '_x'
AND UPPER(column_name) LIKE UPPER('%%')
AND table_schema <> 'pg_catalog'
AND table_schema <> 'information_schema'
AND data_type IN ('character varying', 'text', 'character', 'char', 'varchar')
LOOP
sql := concat('SELECT ', rec1."column_name", ' AS "found" FROM ',rec1."table_schema" , '.',rec1."table_name" , ' WHERE UPPER(',rec1."column_name" , ') LIKE UPPER(''','%my_substring_to_find_goes_here%' , ''')');
RAISE NOTICE '%', sql;
BEGIN
FOR rec2 IN EXECUTE sql LOOP
RAISE NOTICE '%', sql;
INSERT INTO _x VALUES (rec1."table_schema", rec1."table_name", rec1."column_name", rec2."found");
END LOOP;
EXCEPTION WHEN OTHERS THEN
END;
END LOOP;
END; $$;
SELECT * FROM _x;