Use two single-quotes
SQL> SELECT 'D''COSTA' name FROM DUAL;
NAME
-------
D'COSTA
Alternatively, use the new (10g+) quoting method:
SQL> SELECT q'$D'COSTA$' NAME FROM DUAL;
NAME
-------
D'COSTA
I found the above answer giving an error with Oracle SQL, you also must use square brackets, below;
SQL> SELECT Q'[Paddy O'Reilly]' FROM DUAL;
Result: Paddy O'Reilly
Source: Stackoverflow.com