The Taoiseach is also being urged to answer questions over the Tony Holohan controversy.
Aontú says senior civil servants should consider their positions over the Tony Holohan controversy.
The party's also calling on the Taoiseach and Health Minister to attend the Oireachtas Finance Committee over the Chief Medical Officer's decision not to take the Trinity job.
It says the Secretary General at the Department of the Taoiseach didn't discuss Dr Holohan's appointment to the secondment role with Micheál Martin.
Aontú Leader and Meath West Deputy Peadar Tóibín, says civil servants shouldn't be making decisions without consultation:
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