Hello,
try this :
SELECT FirstName, LastName FROM CustomerTable AS CT
WHERE
CustomerName = CASE WHEN ISNULL(@p_CustomerName, '') = '' THEN CustomerName ELSE ISNULL(@p_CustomerName, '') END
AND CustomerID = CASE WHEN ISNULL(@p_CustomerID, '') = '' THEN CustomerID ELSE ISNULL(@p_CustomerID, '') END