According to Pedersen's Flaggor i färg, 1973 [ped73], the flag of the Chilean Minister of Defence is blue with a large coat of arms centered on the flag. Marcus Wendel, 15 September 1999
Also according to the Album des Pavillons [pie90] and William Crampton's The Complete Guide to Flags [cra89]. Randy Young, 30 April 1999 and Ivan Sache, 2 May 1999
Blue flag with a white fouled recumbent anchor. The 1939 Flaggenbuch [neu39] gives different drawing than the 1926 Flaggenbuch [d9e26], so maybe this one is not particularly faithful, nevertheless. Željko Heimer, 15 December 2005
Flaggenbuch [neu39] showed a flag similar to this, as "Flagge des Marineministers" (Flag of the Minister of Navy). The anchor is different, being smaller and thinner, with a mirorred fouling. Ivan Sache, 9 April 2001
It seems that the War and Marine Departments were often in the charge of a single minister; I found a reference to the establishment of the position of Minister of War and Marine in 1887. That would presumably account for a flag bearing an anchor for the War Minister, but the date would seem to have to be before March 1932. Joe McMillan, 9 October 2002
By Law No. 5.077 of 5 March 1932, the Departments of War and Marine and the Sub-Secretariat of Aviation, a branch of the Ministry of the Interior, were merged into a single department of state, which was denominated Ministry of National Defense. This Ministry thus continued to be composed of the sub-secretariats of the Army, Marine, and Aviation. It is in the charge of a secretary of state denominated Minister of National Defense, who is the representative of the President of the Republic and the immediate chief of the institutions that comprise the armed forces and the forces of order. Joe McMillan, 9 October 2002 Source:FundacionPobreza.CL)