He has served in several high-ranking positions in the Albanian government, including as Speaker of Parliament and Deputy Prime Minister.

He completed postgraduate studies at Pierre and Marie Curie University in France, earning a doctoral degree in functional analysis.

Gjinushi responded to the interview, which referred to him as a "dangerous mafioso in politics", by bringing libel charges against the reporter who conducted it.

[7] President of Albania Ilir Meta refused to approve Gjinushi's election, citing his leadership of the PSD while competing for the position.

[10] Consequently, Parliament passed a law stating that the Academy can override the president's veto, giving it the power to complete Gjinushi's nomination.