Drobný has previously played for Panionios, ADO Den Haag, VfL Bochum, Ipswich Town, Hertha BSC, Hamburger SV, Werder Bremen, and Fortuna Düsseldorf.

[3] When he returned his contract was terminated by mutual consent in August 2006, without Drobný having played a first-team game for the club.

[7] During the season he was kept out of action by injuries to his hand and his shoulder as well as by a three-match suspension from a red card received on matchday 17.

[9] In October 2019, Drobný returned to the Czech Republic joining former club Dynamo České Budějovice.

[13] Drobný has played 16 times for the Czech national under-21 side, but his opportunities have been limited in the full squad.

In October 2021 Drobný was appointed interim goalkeeping coach at Bayern Munich II after Walter Junghans underwent knee surgery.