Can I receive a pension abroad if I change my place of residence?

YES you can.

Due to the fact that the provisions of Clause 2, Part 1, Art. 49 and the second sentence of Article 51 of the Law of Ukraine "On Mandatory State Pension Insurance" are recognized as unconstitutional, then pension must be paid to absolutely all citizens of Ukraine who have gone abroad, regardless of the presence / absence of international treaties of Ukraine, consent to the obligation whose authority is granted by the Verkhovna Rada of Ukraine.

In addition, I inform you that in accordance with Article 51 of the Law of Ukraine "On Mandatory State Pension Insurance", in the event of a pensioner moving to a permanent place of residence abroad, the pension assigned in Ukraine, upon the pensioner's application, can be paid to him for six months in advance before departure, counting from the month following the month of deregistration at the place of permanent residence.