It belongs to Ostrytsia rural hromada, one of the hromadas of Ukraine,[1] Until 18 July 2020, Tsuren, which was historically a part of the province of Bukovina, belonged to Hertsa Raion.
[2][3] In 2001, 893, or 94.4% of the 946 inhabitants of the village of Tsuren spoke Romanian as their native language (630 self-declared it Romanian or 66.6%, and 263 declared in Moldovan, or 27.8%), with a minority of 50 Ukrainian speakers (5.29%).
[4] In the 1989 census, the number of residents who declared themselves Romanian plus Moldovan was 865, representing 96.11% of the locality's population out of 900, including 108 self-identified Romanians (12%) and 757 self-identified Moldovans (84.11%), and there were 31 ethnic Ukrainians (3.44%).
[6] In the same commune, there is also the mostly Ukrainian village of Mamornitsya, which was also historically a part of the province of Bukovina (see the Ukrainian language article on it at https://uk.wikipedia.org/wiki/%D0%9C%D0%B0%D0%BC%D0%BE%D1%80%D0%BD%D0%B8%D1%86%D1%8F and the Romanian language one at https://ro.wikipedia.org/wiki/Mamorni%C8%9Ba,_Her%C8%9Ba).
[8] A significant proportion of the Moldovan plus Romanian population switched their declared census identities from Moldovan and Moldovan-speaking to Romanian and Romanian-speaking between the 1989 and 2001 censuses, and the process has continued ever since.