Sally Morgan, who is a Labour Party supporter and former aide to ex-Prime Minister Tony Blair, was recently told that her term as the Ofsted chair would not be renewed.
Speaking to the BBC Radio 4, she claimed that she was being victimized for not being a Conservative Party supporter, and that there was a determined effort to appoint people from the party in public positions, pointing out that non-conservatives had also been removed from the Art Council and Charity Commission.
Calling on the cabinet secretary to look into the new appointments, she said "One of the really important things about public appointments is that they are made on the basis of merit and they are seen to be transparently made," adding "I think there's something going on in the centre that's mitigating against that."
Shadow education secretary Tristram Hunt also voiced his concerns over the "worrying lack of plurality in public appointments," saying that the conservatives were "very keen to get their own people onto public boards."
Hunt also slammed the secretary of state for education for not standing up for Morgan and giving into "political games".
The Labour party was ousted from power in 2010 when an indecisive election resulted in a coalition between the David Cameron's Conservative Tory Party and Nick Clegg's Liberal Democrats.