From 1982 he taught at the same institution (now the Lviv National Academy of Arts), was the dean of the faculty of artistic textiles, professor and head of the department of artistic textiles. In 2009 he received the title of People's Artist of Ukraine.

Participant of art exhibitions since 1962, author of numerous personal exhibitions in Ukraine, Great Britain and the USA. He worked in easel and monumental-decorative painting, as well as in artistic textiles. Already in the second half of the 1960s, he consciously distanced himself from the canons of socialist realism, searching for his own expressive and symbolic artistic language. His work combines elements of expressionism, symbolism and philosophical understanding of human existence.

The central themes of Minko's painting were spirituality, existential experiences, memory, faith and human loneliness. His portraits are distinguished by deep psychologism, still lifes - by exquisite color and complex compositional solutions, and landscapes and religious compositions - by meditativeness and symbolic imagery. In the field of artistic textiles, the artist creatively reinterpreted traditional Ukrainian ornaments, creating modern decorative forms.

Oleg Minko's works are kept in the National Museum in Lviv, the Lviv National Gallery of Art and other museum and private collections. As a teacher, he educated a generation of Ukrainian artists, combining academic school with openness to modern artistic pursuits. His work is considered one of the most important phenomena of Lviv art of the second half of the 20th - early 21st centuries.