[1] Starting in 2015–16, Schubert joined the main Dynamo Dresden squad, becoming the youngest active player in the club's history[2] after debuting in a game against Preußen Münster on 28 November 2015.

The decision to not field Schubert in those matches was made by then-coach Cristian Fiel in an effort to "protect" him from hostile behaviour directed at him by supporters,[3] following the announcement of his departure from the club.

[5] On 15 December 2019, he made his Bundesliga debut in a 1–0 home win against Eintracht Frankfurt when he came on for Amine Harit in the 69th minute after goalkeeper Alexander Nübel received a red card.

[6] Following a string of poor performances by Nübel, who had already announced his move to Bayern Munich, he was permanently replaced by Schubert, who spent the rest of the season as Schalke's main goalkeeper.

[7] Prior to the 2020–2021 season, he was demoted to substitute keeper, with coach David Wagner electing to field Ralf Fährmann instead, who had previously been out on a loan.