He made the remark in an interview with BBC Sinhala Service in London, where he was attending the Commonwealth heads of state summit.
It is up to the parties to decide whether to reappoint as ministers who had been removed due to accusations, said the president.
He said it was his responsibility to inquire into if the nominees to the cabinet are suitable or not.
Their international recognition too, is considered
Their recognition, both locally and internationally, too, should be considered, said the president, noting the recent appointment of the law and order minister as a case in point.
The government has announced a cabinet reshuffle after 15 SLFP ministers and the deputy speaker resigned.
It will rather be an appointment of a new cabinet, remarked president Sirisena.
A new cabinet next week
He said he would be meeting the present cabinet today (24), following his visit to Britain, and announce a new one next week.
The president declined to say how many members would there be in the new cabinet, but added that the subjects would be allotted to the ministries in accordance with a scientific basis.