[2] In addition to his committee assignments, Kyrtsos has been part of the Parliament's delegations for relations with the NATO Parliamentary Assembly (2014–2019) and with the Arab Peninsula (since 2019).

[3] Kyrtsos was expelled from New Democracy on 18 February 2022 following his criticism of the government of Prime Minister Kyriakos Mitsotakis for curtailing press freedom.

[5][6] In 2019, Kyrtsos publicly endorsed policy proposals put forward by Greek Solution founder Kyriakos Velopoulos according which illegal immigrants to Greece are to be sent to remote, uninhabited islands to await deportation.

[7] In November 2021, Kyrtsos joined a group of seven Members of the European Parliament led by Raphaël Glucksmann to Taiwan to send a strong signal in support of the self-ruling island, despite a threat of retaliation from China.

[8] In 2022, Kyrtsos and his colleague Markus Ferber tabled several amendments to paragraphs relating to the European Central Bank's climate strategy in a report by the Parliament, criticizing ECB President Christine Lagarde's plan to take greater account of the environment in core policy decisions as a "distraction" from the bank's duty to tame inflation.