One of the main characteristics of a professional coach is to be "coachable", that is to be open and available to be coached by other colleagues.
Being coached by a professional coach helps the coaches clarifying and solving personal and professional issues. All the coaches I have met - even master coaches, having held senior positions in complex organisations - have been, in turn, coached by other coaches.
I kindly remind that ICF requires a verifiable coaching programme before accrediting a professional coach. Moreover, to renew the credentials, it's necessary to certify a coaching path with a mentor coach about the key-coaching competences.