If you have an unrestricted class 1 medical why do you anticipate any problems ? ICAO do not issue licences, so you must have one issued by a national authority whose government is a signatory to the ICAO. I always think it draws attention to oneself when claiming to have an "ICAO licence" it suggests the issuing authority is not relevant to the country of application ?
Interviewers are not likely to question or scrutinize your medical certificate unless there is some restriction or endorsement on it that excites their interest. I cannot see the medical aspect causing you any problems unless they all turn up in multicoloured sweaters with subtle numbers weaved into the fabric for your entertainment.
Why do you think this might cause a problem ?