Returning to Dukla Jihlava after backstopping the club to promotion to the Czech Extraliga for the 2017–18 season, Škarek made 21 top flight appearances in posting a .913 save percentage.

In order to continue his development, he left Dukla Jihlava for a higher level of competition, joining the Lahti Pelicans of the Finnish Liiga for the 2018–19 season on 2 May 2018.

[2] Škarek's potential was noticed and he was selected in the third round, 72nd overall, by the New York Islanders in the 2018 NHL Entry Draft.

[3] On 16 November 2020, the Islanders loaned Škarek to Peliitat Heinola of Finnish Mestis until the commencement of the training camp for the pandemic delayed 2020–21 season.

In addition to his native Czech, Škarek can speak English, as well as some Russian, Slovak, Swedish, and Finnish.