On 11 September 1940 Drobiński was assigned to the No. 65 Squadron RAF and took part in the Battle of Britain.[3] On 2 March 1941 he was posted to the No. 303 Polish Fighter Squadron. On 15 May 1941 he damaged a Ju 52 which was on the ground. On 21 June 1941 Drobiński heavily damaged the plane flown by German ace Adolf Galland[4] and forced him to a crash-landing. From 18 March 1942 to 9 August 1942 he was an instructor in No. 58 Operational Training Unit at RAF Grangemouth.[5] On 18 October 1943 he was ordered to No. 317 Polish Fighter Squadron. On 3 April 1944 he began to work in the Ministry of Defence. On 26 September 1944 he took command of No.303 Polish Fighter Squadron.[6]
Drobiński was demobilized in 1948. He worked in the oil industry in America. In 1950's he settled in a village in Surrey.[7] In 1960 he obtained British citizenship. In 1969 he acted as a technical advisor for the Battle of Britain, where he reunited with Galland, who was also a technical advisor for the movie. In 1943 he married a South African woman, they had two sons and a daughter.[8]
Tadeusz Jerzy Krzystek, Anna Krzystek: Polskie Siły Powietrzne w Wielkiej Brytanii w latach 1940-1947 łącznie z Pomocniczą Lotniczą Służbą Kobiet (PLSK-WAAF). Sandomierz: Stratus, 2012, p. 161. ISBN9788361421597
Jerzy Pawlak: Absolwenci Szkoły Orląt: 1925-1939. Warszawa: Retro-Art, 2009, pp. 231–232. ISBN8387992224
Piotr Sikora: Asy polskiego lotnictwa. Warszawa: Oficyna Wydawnicza Alma-Press. 2014, p. 282-285. ISBN9788370205607