Don't worry if your mailing address on your W-2 form is wrong or has since changed. This won't affect your taxes. Just make sure you've entered your current mailing address in the Personal Info section of TurboTax, which you'll find under Intuit Account on the lower left side of the screen (you may have to go to Tax Home first to get there).
If you expect to get another W-2 from the same employer next year, ask their payroll department to update your address so next year's W-2 doesn't get lost in the mail.
On the other hand, if your name, Social Security number, or any dollar amount(s) on your W-2 are wrong, ask your employer for a corrected W-2 (also known as Form W-2c: Corrected Wage and Tax Statement).